Quantum thermodynamics from the nonequilibrium dynamics of open systems: Energy, heat capacity, and the third law
Abstract
In a series of papers, we intend to take the perspective of open quantum systems and examine from their nonequilibrium dynamics the conditions when the physical quantities, their relations, and the laws of thermodynamics become well defined and viable for quantum many-body systems. We first describe how an open-system nonequilibrium dynamics (ONEq) approach is different from the closed combined system + environment in a global thermal state (CGTs) setup. Only after the open system equilibrates will it be amenable to conventional thermodynamics descriptions, thus quantum thermodynamics (QTD) comes at the end rather than assumed in the beginning. The linkage between the two comes from the reduced density matrix of ONEq in that stage having the same form as that of the system in the CGTs. We see the open-system approach having the advantage of dealing with nonequilibrium processes as many experiments in the near future will call for. Because it spells out the conditions of QTD's existence, it can also aid us in addressing the basic issues in quantum thermodynamics from first principles in a systematic way. We then study one broad class of open quantum systems where the full nonequilibrium dynamics can be solved exactly, that of the quantummore »
- Authors:
-
[3];
- Fudan Univ., Shanghai (China). Center for Field Theory and Particle Physics
- National Cheng Kung Univ., Tainan (Taiwan). Dept. of Physics
- Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
- Fudan Univ., Shanghai (China). Center for Field Theory and Particle Physics; Univ. of Maryland, College Park, MD (United States). Maryland Center for Fundamental Physics and Joint Quantum Inst. (JQI)
- Publication Date:
- Research Org.:
- Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
- Sponsoring Org.:
- USDOE
- OSTI Identifier:
- 1419751
- Alternate Identifier(s):
- OSTI ID: 1417775
- Report Number(s):
- LA-UR-17-21711
Journal ID: ISSN 2470-0045; PLEEE8; TRN: US1801385
- Grant/Contract Number:
- AC52-06NA25396
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Physical Review E
- Additional Journal Information:
- Journal Volume: 97; Journal Issue: 1; Journal ID: ISSN 2470-0045
- Publisher:
- American Physical Society (APS)
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; Brownian motion; Brownian dynamics; open quantum systems; quantum thermodynamics; dissipative particle dynamics; Langevin equation; non-Markovian processes; nonequlibrium Green's function; path-integral methods; quantum field theory; second quantization
Citation Formats
Hsiang, Jen -Tsung, Chou, Chung Hsien, Subasi, Yigit, and Hu, Bei Lok. Quantum thermodynamics from the nonequilibrium dynamics of open systems: Energy, heat capacity, and the third law. United States: N. p., 2018.
Web. doi:10.1103/PhysRevE.97.012135.
Hsiang, Jen -Tsung, Chou, Chung Hsien, Subasi, Yigit, & Hu, Bei Lok. Quantum thermodynamics from the nonequilibrium dynamics of open systems: Energy, heat capacity, and the third law. United States. https://doi.org/10.1103/PhysRevE.97.012135
Hsiang, Jen -Tsung, Chou, Chung Hsien, Subasi, Yigit, and Hu, Bei Lok. Tue .
"Quantum thermodynamics from the nonequilibrium dynamics of open systems: Energy, heat capacity, and the third law". United States. https://doi.org/10.1103/PhysRevE.97.012135. https://www.osti.gov/servlets/purl/1419751.
@article{osti_1419751,
title = {Quantum thermodynamics from the nonequilibrium dynamics of open systems: Energy, heat capacity, and the third law},
author = {Hsiang, Jen -Tsung and Chou, Chung Hsien and Subasi, Yigit and Hu, Bei Lok},
abstractNote = {In a series of papers, we intend to take the perspective of open quantum systems and examine from their nonequilibrium dynamics the conditions when the physical quantities, their relations, and the laws of thermodynamics become well defined and viable for quantum many-body systems. We first describe how an open-system nonequilibrium dynamics (ONEq) approach is different from the closed combined system + environment in a global thermal state (CGTs) setup. Only after the open system equilibrates will it be amenable to conventional thermodynamics descriptions, thus quantum thermodynamics (QTD) comes at the end rather than assumed in the beginning. The linkage between the two comes from the reduced density matrix of ONEq in that stage having the same form as that of the system in the CGTs. We see the open-system approach having the advantage of dealing with nonequilibrium processes as many experiments in the near future will call for. Because it spells out the conditions of QTD's existence, it can also aid us in addressing the basic issues in quantum thermodynamics from first principles in a systematic way. We then study one broad class of open quantum systems where the full nonequilibrium dynamics can be solved exactly, that of the quantum Brownian motion of N strongly coupled harmonic oscillators, interacting strongly with a scalar-field environment. In this paper, we focus on the internal energy, heat capacity, and the third law. We show for this class of physical models, amongst other findings, the extensive property of the internal energy, the positivity of the heat capacity, and the validity of the third law from the perspective of the behavior of the heat capacity toward zero temperature. These conclusions obtained from exact solutions and quantitative analysis clearly disprove claims of negative specific heat in such systems and dispel allegations that in such systems the validity of the third law of thermodynamics relies on quantum entanglement. They are conceptually and factually unrelated issues. As a result, entropy and entanglement will be the main theme of our second paper on this subject matter.},
doi = {10.1103/PhysRevE.97.012135},
journal = {Physical Review E},
number = 1,
volume = 97,
place = {United States},
year = {2018},
month = {1}
}
Free Publicly Available Full Text
Publisher's Version of Record
Other availability
Search WorldCat to find libraries that may hold this journal
Cited by: 4 works
Citation information provided by
Web of Science
Web of Science
Figures / Tables:
Fig. 1: We compare the difference in predictions from the equilibrium and nonequilibrium approaches. The blue (solid) curve describes the temperature dependence of the mechanical energy of the oscillator in the equilibrium thermal state. The other two curves give the temperature variations of the mechanical energy of the oscillator whichmore »
All figures and tables
(6 total)
Save to My Library
You must Sign In or Create an Account in order to save documents to your library.
Works referenced in this record:
Information and Entropy in Quantum Brownian Motion: Thermodynamic Entropy versus von Neumann Entropy
journal, December 2008
- Hörhammer, Christian; Büttner, Helmut
- Journal of Statistical Physics, Vol. 133, Issue 6
Stochastic theory of relativistic particles moving in a quantum field: Scalar Abraham-Lorentz-Dirac-Langevin equation, radiation reaction, and vacuum fluctuations
journal, February 2002
- Johnson, Philip R.; Hu, B. L.
- Physical Review D, Vol. 65, Issue 6
Thermodynamics of a subensemble of a canonical ensemble
journal, May 2009
- Gelin, Maxim F.; Thoss, Michael
- Physical Review E, Vol. 79, Issue 5
Equilibrium and nonequilibrium formalisms made unified
journal, February 1985
- Chou, Kuang-chao; Su, Zhao-bin; Hao, Bai-lin
- Physics Reports, Vol. 118, Issue 1-2
Stochastic thermodynamics, fluctuation theorems and molecular machines
journal, November 2012
- Seifert, Udo
- Reports on Progress in Physics, Vol. 75, Issue 12
Path integral approach to quantum Brownian motion
journal, September 1983
- Caldeira, A. O.; Leggett, A. J.
- Physica A: Statistical Mechanics and its Applications, Vol. 121, Issue 3
First and Second Law of Thermodynamics at Strong Coupling
journal, January 2016
- Seifert, Udo
- Physical Review Letters, Vol. 116, Issue 2
Stochastic Lorentz forces on a point charge moving near the conducting plate
journal, May 2008
- Hsiang, Jen-Tsung; Wu, Tai-Hung; Lee, Da-Shin
- Physical Review D, Vol. 77, Issue 10
Colloquium : Nonequilibrium dynamics of closed interacting quantum systems
journal, August 2011
- Polkovnikov, Anatoli; Sengupta, Krishnendu; Silva, Alessandro
- Reviews of Modern Physics, Vol. 83, Issue 3
Subvacuum effects of the quantum field on the dynamics of a test particle
journal, February 2012
- Wu, Tai-Hung; Hsiang, Jen-Tsung; Lee, Da-Shin
- Annals of Physics, Vol. 327, Issue 2
Decoherence and initial correlations in quantum Brownian motion
journal, June 1997
- Dávila Romero, Luciana; Pablo Paz, Juan
- Physical Review A, Vol. 55, Issue 6
Equilibration, thermalisation, and the emergence of statistical mechanics in closed quantum systems
journal, April 2016
- Gogolin, Christian; Eisert, Jens
- Reports on Progress in Physics, Vol. 79, Issue 5
Quantum Brownian motion in a general environment. II. Nonlinear coupling and perturbative approach
journal, February 1993
- Hu, B. L.; Paz, Juan Pablo; Zhang, Yuhong
- Physical Review D, Vol. 47, Issue 4
Distance and coupling dependence of entanglement in the presence of a quantum field
journal, December 2015
- Hsiang, J. -T.; Hu, B. L.
- Physical Review D, Vol. 92, Issue 12
Quantum equilibration in finite time
journal, January 2012
- Short, Anthony J.; Farrelly, Terence C.
- New Journal of Physics, Vol. 14, Issue 1
Quantum Brownian motion in a bath of parametric oscillators: A model for system-field interactions
journal, June 1994
- Hu, B. L.; Matacz, A.
- Physical Review D, Vol. 49, Issue 12
Entropy production in quantum Brownian motion
journal, April 2013
- Pucci, Lorenzo; Esposito, Massimiliano; Peliti, Luca
- Journal of Statistical Mechanics: Theory and Experiment, Vol. 2013, Issue 04
Stochastic thermodynamics: principles and perspectives
journal, January 2008
- Seifert, U.
- The European Physical Journal B, Vol. 64, Issue 3-4
Canonical Typicality
journal, February 2006
- Goldstein, Sheldon; Lebowitz, Joel L.; Tumulka, Roderich
- Physical Review Letters, Vol. 96, Issue 5
Nonequilibrium Entropy Production for Open Quantum Systems
journal, September 2011
- Deffner, Sebastian; Lutz, Eric
- Physical Review Letters, Vol. 107, Issue 14
Focus on Dynamics and Thermalization in Isolated Quantum Many-Body Systems
journal, May 2010
- Cazalilla, M. A.; Rigol, M.
- New Journal of Physics, Vol. 12, Issue 5
Non-equilibrium Dynamics in the Quantum Brownian Oscillator and the Second Law of Thermodynamics
journal, October 2011
- Kim, Ilki
- Journal of Statistical Physics, Vol. 146, Issue 1
Quantum and Classical Correlations in Quantum Brownian Motion
journal, September 2002
- Eisert, Jens; Plenio, Martin B.
- Physical Review Letters, Vol. 89, Issue 13
Generalized Clausius Inequality for Nonequilibrium Quantum Processes
journal, October 2010
- Deffner, Sebastian; Lutz, Eric
- Physical Review Letters, Vol. 105, Issue 17
Exact master equation and quantum decoherence of two coupled harmonic oscillators in a general environment
journal, January 2008
- Chou, Chung-Hsien; Yu, Ting; Hu, B. L.
- Physical Review E, Vol. 77, Issue 1
Quantum Quench in the Transverse-Field Ising Chain
journal, June 2011
- Calabrese, Pasquale; Essler, Fabian H. L.; Fagotti, Maurizio
- Physical Review Letters, Vol. 106, Issue 22
Stationary non-equilibrium states of infinite harmonic systems
journal, June 1977
- Spohn, Herbert; Lebowitz, Joel L.
- Communications in Mathematical Physics, Vol. 54, Issue 2
Heat due to system-reservoir correlations in thermal equilibrium
journal, August 2014
- Ankerhold, Joachim; Pekola, Jukka P.
- Physical Review B, Vol. 90, Issue 7
Density of states of a damped quantum oscillator
journal, December 1995
- Hanke, A.; Zwerger, W.
- Physical Review E, Vol. 52, Issue 6
Thermodynamic anomalies in the presence of general linear dissipation: from the free particle to the harmonic oscillator
journal, April 2014
- Adamietz, Robert; Ingold, Gert-Ludwig; Weiss, Ulrich
- The European Physical Journal B, Vol. 87, Issue 4
Does the Third Law of Thermodynamics Hold in the Quantum Regime?
journal, July 2006
- O’connell, R. F.
- Journal of Statistical Physics, Vol. 124, Issue 1
Anomalies in the specific heat of a free damped particle: the role of the cutoff in the spectral density of the coupling
journal, October 2015
- Spreng, Benjamin; Ingold, Gert-Ludwig; Weiss, Ulrich
- Physica Scripta, Vol. T165
Equilibrium states of open quantum systems in the strong coupling regime
journal, December 2012
- Subaşı, Y.; Fleming, C. H.; Taylor, J. M.
- Physical Review E, Vol. 86, Issue 6
Langevin Equation and Thermodynamics
journal, January 1998
- Sekimoto, Ken
- Progress of Theoretical Physics Supplement, Vol. 130
Hamiltonian of mean force for damped quantum systems
journal, September 2011
- Hilt, Stefanie; Thomas, Benedikt; Lutz, Eric
- Physical Review E, Vol. 84, Issue 3
On the von Neumann entropy of a bath linearly coupled to a driven quantum system
journal, June 2015
- Aurell, Erik; Eichhorn, Ralf
- New Journal of Physics, Vol. 17, Issue 6
Reduction of a wave packet in quantum Brownian motion
journal, August 1989
- Unruh, W. G.; Zurek, W. H.
- Physical Review D, Vol. 40, Issue 4
Entropy production as correlation between system and reservoir
journal, January 2010
- Esposito, Massimiliano; Lindenberg, Katja; Van den Broeck, Christian
- New Journal of Physics, Vol. 12, Issue 1
Clausius inequality beyond the weak-coupling limit: The quantum Brownian oscillator
journal, January 2010
- Kim, Ilki; Mahler, Günter
- Physical Review E, Vol. 81, Issue 1
“Hot entanglement”? – A nonequilibrium quantum field theory scrutiny
journal, November 2015
- Hsiang, J. -T.; Hu, B. L.
- Physics Letters B, Vol. 750
Thermodynamics of quantum Brownian motion with internal degrees of freedom: the role of entanglement in the strong-coupling quantum regime
journal, August 2005
- Hörhammer, C.; Büttner, H.
- Journal of Physics A: Mathematical and General, Vol. 38, Issue 33
Specific heat anomalies of small quantum systems subjected to finite baths
journal, December 2011
- Hasegawa, Hideo
- Journal of Mathematical Physics, Vol. 52, Issue 12
Nonequilibrium steady state in open quantum systems: Influence action, stochastic equation and power balance
journal, November 2015
- Hsiang, J. -T.; Hu, B. L.
- Annals of Physics, Vol. 362
Heat capacity as an indicator of entanglement
journal, August 2008
- Wieśniak, Marcin; Vedral, Vlatko; Brukner, Časlav
- Physical Review B, Vol. 78, Issue 6
Entropy, the Wigner Distribution Function, and the Approach to Equilibrium of a System of Coupled Harmonic Oscillators
journal, February 1971
- Agarwal, G. S.
- Physical Review A, Vol. 3, Issue 2
Initial-state preparation with dynamically generated system-environment correlations
journal, August 2011
- Fleming, C. H.; Roura, Albert; Hu, B. L.
- Physical Review E, Vol. 84, Issue 2
Temporal and spatial dependence of quantum entanglement from a field theory perspective
journal, April 2009
- Lin, Shih-Yuin; Hu, B. L.
- Physical Review D, Vol. 79, Issue 8
Entanglement and the foundations of statistical mechanics
journal, October 2006
- Popescu, Sandu; Short, Anthony J.; Winter, Andreas
- Nature Physics, Vol. 2, Issue 11
Functional integral approach to time-dependent heat exchange in open quantum systems: general method and applications
journal, April 2015
- Carrega, M.; Solinas, P.; Braggio, A.
- New Journal of Physics, Vol. 17, Issue 4
Foundation of Statistical Mechanics under Experimentally Realistic Conditions
journal, November 2008
- Reimann, Peter
- Physical Review Letters, Vol. 101, Issue 19
Thermal energies of classical and quantum damped oscillators coupled to reservoirs
journal, April 2016
- Philbin, T. G.; Anders, J.
- Journal of Physics A: Mathematical and Theoretical, Vol. 49, Issue 21
Specific heat anomalies of open quantum systems
journal, June 2009
- Ingold, Gert-Ludwig; Hänggi, Peter; Talkner, Peter
- Physical Review E, Vol. 79, Issue 6
Stochastic thermodynamics of rapidly driven systems
journal, May 2015
- Cuetara, Gregory Bulnes; Engel, Andreas; Esposito, Massimiliano
- New Journal of Physics, Vol. 17, Issue 5
Breakdown of Thermalization in Finite One-Dimensional Systems
journal, September 2009
- Rigol, Marcos
- Physical Review Letters, Vol. 103, Issue 10
Coarse-grained effective action and renormalization group theory in semiclassical gravity and cosmology
journal, October 2001
- Calzetta, E. A.; Hu, B. L.; Mazzitelli, Francisco D.
- Physics Reports, Vol. 352, Issue 4-6
Effective quantum dynamics of two Brownian particles
journal, September 2009
- Duarte, O. S.; Caldeira, A. O.
- Physical Review A, Vol. 80, Issue 3
System-bath entanglement in quantum thermodynamics
journal, January 2009
- Hilt, Stefanie; Lutz, Eric
- Physical Review A, Vol. 79, Issue 1
Quantum mechanical evolution towards thermal equilibrium
journal, June 2009
- Linden, Noah; Popescu, Sandu; Short, Anthony J.
- Physical Review E, Vol. 79, Issue 6
Quantum Thermodynamics: A Dynamical Viewpoint
journal, May 2013
- Kosloff, Ronnie
- Entropy, Vol. 15, Issue 12
Finite quantum dissipation: the challenge of obtaining specific heat
journal, November 2008
- Hänggi, Peter; Ingold, Gert-Ludwig; Talkner, Peter
- New Journal of Physics, Vol. 10, Issue 11
Extraction of Work from a Single Thermal Bath in the Quantum Regime
journal, August 2000
- Allahverdyan, A. E.; Nieuwenhuizen, Th. M.
- Physical Review Letters, Vol. 85, Issue 9
Quantum Brownian motion in a general environment: Exact master equation with nonlocal dissipation and colored noise
journal, April 1992
- Hu, B. L.; Paz, Juan Pablo; Zhang, Yuhong
- Physical Review D, Vol. 45, Issue 8
A Quantum Violation of the Second Law?
journal, January 2006
- Ford, G. W.; O’Connell, R. F.
- Physical Review Letters, Vol. 96, Issue 2
Dynamics of the Entanglement between Two Oscillators in the Same Environment
journal, June 2008
- Paz, Juan Pablo; Roncaglia, Augusto J.
- Physical Review Letters, Vol. 100, Issue 22
Brownian Motion of a Quantum Oscillator
journal, May 1961
- Schwinger, Julian
- Journal of Mathematical Physics, Vol. 2, Issue 3
Nature of heat in strongly coupled open quantum systems
journal, December 2015
- Esposito, Massimiliano; Ochoa, Maicol A.; Galperin, Michael
- Physical Review B, Vol. 92, Issue 23
A quantum central limit theorem for non-equilibrium systems: exact local relaxation of correlated states
journal, May 2010
- Cramer, M.; Eisert, J.
- New Journal of Physics, Vol. 12, Issue 5
Quantum Thermodynamics: A Nonequilibrium Green’s Function Approach
journal, February 2015
- Esposito, Massimiliano; Ochoa, Maicol A.; Galperin, Michael
- Physical Review Letters, Vol. 114, Issue 8
Entanglement at the quantum phase transition in a harmonic lattice
journal, February 2010
- Rieper, Elisabeth; Anders, Janet; Vedral, Vlatko
- New Journal of Physics, Vol. 12, Issue 2
Effective Coupling between Two Brownian Particles
journal, December 2006
- Duarte, O. S.; Caldeira, A. O.
- Physical Review Letters, Vol. 97, Issue 25
The theory of a general quantum system interacting with a linear dissipative system
journal, October 1963
- Feynman, R. P.; Vernon, F. L.
- Annals of Physics, Vol. 24
Quantum statistical mechanics in a closed system
journal, February 1991
- Deutsch, J. M.
- Physical Review A, Vol. 43, Issue 4
Chaos and quantum thermalization
journal, August 1994
- Srednicki, Mark
- Physical Review E, Vol. 50, Issue 2
Energy Exchange in Driven Open Quantum Systems at Strong Coupling
journal, June 2016
- Carrega, Matteo; Solinas, Paolo; Sassetti, Maura
- Physical Review Letters, Vol. 116, Issue 24
Focus on stochastic thermodynamics
journal, February 2016
- Broeck, Christian Van den; Sasa, Shin-ichi; Seifert, Udo
- New Journal of Physics, Vol. 18, Issue 2
Statistical Mechanics of Fluid Mixtures
journal, May 1935
- Kirkwood, John G.
- The Journal of Chemical Physics, Vol. 3, Issue 5
Ueber die Bedingungen, unter welchen eine Gleichung nur Wurzeln mit negativen reellen Theilen besitzt
journal, June 1895
- Hurwitz, A.
- Mathematische Annalen, Vol. 46, Issue 2
Quantum Brownian motion: The functional integral approach
journal, October 1988
- Grabert, Hermann; Schramm, Peter; Ingold, Gert-Ludwig
- Physics Reports, Vol. 168, Issue 3
Quantum thermodynamics
journal, February 2001
- Hoffmann, K. H.
- Annalen der Physik, Vol. 10, Issue 1-2
Brownian motion of a quantum oscillator
journal, April 1975
- Carusotto, Salvatore
- Physical Review A, Vol. 11, Issue 4
The Theory of a General Quantum System Interacting with a Linear Dissipative System
journal, April 2000
- Feynman, R. P.; Vernon, F. L.
- Annals of Physics, Vol. 281, Issue 1-2
Stochastic Lorentz forces on a point charge moving near the conducting plate
text, January 2007
- Hsiang, Jen-Tsung; Wu, Tai-Hung; Lee, Da-Shin
- arXiv
Finite quantum dissipation: the challenge of obtaining specific heat
text, January 2008
- Hänggi, Peter; Ingold, Gert-Ludwig; Talkner, Peter
- arXiv
Subvacuum effects of the quantum field on the dynamics of a test particle
text, January 2008
- Wu, Tai-Hung; Hsiang, Jen-Tsung; Lee, Da-Shin
- arXiv
Foundation of Statistical Mechanics under experimentally realistic conditions
text, January 2008
- Reimann, Peter
- arXiv
Quantum mechanical evolution towards thermal equilibrium
text, January 2008
- Linden, Noah; Popescu, Sandu; Short, Anthony J.
- arXiv
Breakdown of thermalization in finite one-dimensional systems
text, January 2009
- Rigol, Marcos
- arXiv
Thermodynamics of a subensemble of a canonical ensemble
text, January 2009
- Gelin, M. F.; Thoss, M.
- arXiv
Entropy production as correlation between system and reservoir
text, January 2009
- Esposito, Massimiliano; Lindenberg, Katja; Broeck, Christian Van den
- arXiv
A quantum central limit theorem for non-equilibrium systems: Exact local relaxation of correlated states
text, January 2009
- Cramer, M.; Eisert, J.
- arXiv
Generalized Clausius inequality for nonequilibrium quantum processes
text, January 2010
- Deffner, Sebastian; Lutz, Eric
- arXiv
Nonequilibrium entropy production for open quantum systems
text, January 2011
- Deffner, Sebastian; Lutz, Eric
- arXiv
Quantum Quench in the Transverse Field Ising Chain
text, January 2011
- Calabrese, Pasquale; Essler, Fabian H. L.; Fagotti, Maurizio
- arXiv
Quantum equilibration in finite time
text, January 2011
- Short, Anthony J.; Farrelly, Terence C.
- arXiv
The equilibrium states of open quantum systems in the strong coupling regime
text, January 2012
- Subasi, Y.; Fleming, C. H.; Taylor, J. M.
- arXiv
Heat due to system-reservoir correlations in thermal equilibrium
text, January 2014
- Ankerhold, Joachim; Pekola, Jukka P.
- arXiv
Nonequilibrium Steady State in Open Quantum Systems: Influence Action, Stochastic Equation and Power Balance
text, January 2014
- Hsiang, J. -T.; Hu, B. L.
- arXiv
Stochastic thermodynamics of rapidly driven systems
text, January 2014
- Cuetara, Gregory Bulnes; Engel, Andreas; Esposito, Massimiliano
- arXiv
Functional Integral approach to time-dependent heat exchange in open quantum systems: general method and applications
text, January 2014
- Carrega, M.; Solinas, P.; Braggio, A.
- arXiv
Distance and Coupling Dependence of Entanglement in the Presence of a Quantum Field
text, January 2015
- Hsiang, Jen-Tsung; Hu, B. L.
- arXiv
Energy exchange in driven open quantum systems at strong coupling
text, January 2016
- Carrega, Matteo; Solinas, Paolo; Sassetti, Maura
- arXiv
Canonical Typicality
text, January 2005
- Goldstein, Sheldon; Lebowitz, Joel L.; Tumulka, Roderich
- arXiv
Coarse-Grained Effective Action and Renormalization Group Theory in Semiclassical Gravity and Cosmology
text, January 2001
- Calzetta, Esteban A.; Hu, Bei Lok; Mazzitelli, Francisco D.
- arXiv
Quantum and classical correlations in quantum Brownian motion
text, January 2001
- Eisert, J.; Plenio, M. B.
- arXiv
Does the Third Law of Thermodynamics hold in the Quantum Regime?
text, January 2006
- O'Connell, R. F.
- arXiv
Exact Master Equation and Quantum Decoherence of Two Coupled Harmonic Oscillators in a General Environment
text, January 2007
- Chou, Chung-Hsien; Yu, Ting; Hu, B. L.
- arXiv
Decoherence and Initial Correlations in Quantum Brownian Motion
text, January 1996
- Romero, Luciana Dávila; Paz, Juan Pablo
- arXiv
Works referencing / citing this record:
Steady-state entanglement and coherence of two coupled qubits in equilibrium and nonequilibrium environments
journal, April 2019
- Wang, Zhihai; Wu, Wei; Wang, Jin
- Physical Review A, Vol. 99, Issue 4
Fluctuation-dissipation and correlation-propagation relations from the nonequilibrium dynamics of detector-quantum field systems
journal, July 2019
- Hsiang, Jen-Tsung; Hu, B. L.; Lin, Shih-Yuin
- Physical Review D, Vol. 100, Issue 2
Ground state excitation of an atom strongly coupled to a free quantum field
journal, December 2019
- Hsiang, Jen-Tsung; Hu, Bei-Lok
- Physical Review D, Vol. 100, Issue 12
Quantum dissipation of planar harmonic systems: Maxwell-Chern-Simons theory
journal, January 2019
- Valido, Antonio A.
- Physical Review D, Vol. 99, Issue 1
Non-Markovianity and negative entropy production rates
journal, January 2019
- Strasberg, Philipp; Esposito, Massimiliano
- Physical Review E, Vol. 99, Issue 1
Strong coupling and non-Markovian effects in the statistical notion of temperature
journal, June 2019
- Moreno, Camilo; Urbina, Juan-Diego
- Physical Review E, Vol. 99, Issue 6
Quantum Thermodynamics at Strong Coupling: Operator Thermodynamic Functions and Relations
journal, May 2018
- Hsiang, Jen-Tsung; Hu, Bei-Lok
- Entropy, Vol. 20, Issue 6
Atom-Field Interaction: From Vacuum Fluctuations to Quantum Radiation and Quantum Dissipation or Radiation Reaction
journal, December 2019
- Hsiang, Jen-Tsung; Hu, B. L.
- Physics, Vol. 1, Issue 3
Strong coupling and non-Markovian effects in the statistical notion of temperature
text, January 2019
- Moreno, Camilo; Urbina, Juan Diego
- Universität Regensburg
Strong Coupling and non-Markovian Effects in the Statistical Notion of Temperature
text, January 2018
- Moreno, Camilo; Urbina, Juan Diego
- Universität Regensburg
Non-Markovianity and negative entropy production rates
text, January 2018
- Strasberg, Philipp; Esposito, Massimiliano
- arXiv
Quantum dissipation of planar harmonic systems: Maxwell-Chern-Simons theory
text, January 2018
- Valido, Antonio A.
- arXiv
Steady-state entanglement and coherence of the coupled qubit system in equilibrium and nonequilibrium environments
text, January 2018
- Wang, Zhihai; Wu, Wei; Wang, Jin
- arXiv
Atom-Field Interaction: From Vacuum Fluctuations to Quantum Radiation and Quantum Dissipation / Radiation Reaction
text, January 2019
- Hsiang, Jen-Tsung; Hu, B. L.
- arXiv
Figures / Tables found in this record:
Figures/Tables have been extracted from DOE-funded journal article accepted manuscripts.