Strongly Coupled Quantum Heat Machines

Gelbwaser-Klimovsky, David; Aspuru-Guzik, Alán

doi:10.1021/acs.jpclett.5b01404

Title: Strongly Coupled Quantum Heat Machines

Abstract

Energy conversion of heat into work at the quantum level is modeled by quantum heat machines (QHMs) generally assumed to operate at weak coupling to the baths. This supposition is grounded in the separability principle between systems and allows the derivation of the evolution equation. In the weak coupling regime, the machine’s output is limited by the coupling strength, restricting their application. Seeking to overcome this limitation, we analyze QHMs in the virtually unexplored strong coupling regime here, where separability, as well as other standard thermodynamic assumptions, may no longer hold. We demonstrate that strongly coupled QHMs may be as efficient as their weakly coupled counterparts. Furthermore, we find a novel turnover behavior where their output saturates and disappears in the limit of ultrastrong coupling.

Authors:

Gelbwaser-Klimovsky, David ^[1]; Aspuru-Guzik, Alán ^[1]

Department of Chemistry and Chemical Biology, Harvard University, Cambridge, Massachusetts 02138, United States

Publication Date:: Mon Aug 24 00:00:00 EDT 2015

Research Org.:: Energy Frontier Research Centers (EFRC) (United States). Center for Excitonics (CE)

Sponsoring Org.:: USDOE Office of Science (SC), Basic Energy Sciences (BES)

OSTI Identifier:: 1415264

Alternate Identifier(s):: OSTI ID: 1370897

Grant/Contract Number:: SC0001088

Resource Type:: Published Article

Journal Name:: Journal of Physical Chemistry Letters

Additional Journal Information:: Journal Name: Journal of Physical Chemistry Letters Journal Volume: 6 Journal Issue: 17; Journal ID: ISSN 1948-7185

Publisher:: American Chemical Society

Country of Publication:: United States

Language:: English

Subject:: 37 INORGANIC, ORGANIC, PHYSICAL, AND ANALYTICAL CHEMISTRY; Energy conversion; Open quantum systems; Polaron transformation

Citation Formats


                    Gelbwaser-Klimovsky, David, and Aspuru-Guzik, Alán. Strongly Coupled Quantum Heat Machines.  United States: N. p., 2015. 
Web.  doi:10.1021/acs.jpclett.5b01404.

Copy to clipboard


                    Gelbwaser-Klimovsky, David, & Aspuru-Guzik, Alán. Strongly Coupled Quantum Heat Machines.  United States.  https://doi.org/10.1021/acs.jpclett.5b01404

Copy to clipboard


                    Gelbwaser-Klimovsky, David, and Aspuru-Guzik, Alán. Mon .  
"Strongly Coupled Quantum Heat Machines".  United States.  https://doi.org/10.1021/acs.jpclett.5b01404.

Copy to clipboard


                    
@article{osti_1415264,

  title        = {Strongly Coupled Quantum Heat Machines},

  author       = {Gelbwaser-Klimovsky, David and Aspuru-Guzik, Alán},

  abstractNote = {Energy conversion of heat into work at the quantum level is modeled by quantum heat machines (QHMs) generally assumed to operate at weak coupling to the baths. This supposition is grounded in the separability principle between systems and allows the derivation of the evolution equation. In the weak coupling regime, the machine’s output is limited by the coupling strength, restricting their application. Seeking to overcome this limitation, we analyze QHMs in the virtually unexplored strong coupling regime here, where separability, as well as other standard thermodynamic assumptions, may no longer hold. We demonstrate that strongly coupled QHMs may be as efficient as their weakly coupled counterparts. Furthermore, we find a novel turnover behavior where their output saturates and disappears in the limit of ultrastrong coupling.},

  doi          = {10.1021/acs.jpclett.5b01404},

  journal      = {Journal of Physical Chemistry Letters},

  number       = 17,

  volume       = 6,

  place        = {United States},

  year         = {Mon Aug 24 00:00:00 EDT 2015},

  month        = {Mon Aug 24 00:00:00 EDT 2015}

}

Copy to clipboard

Journal Article:

Free Publicly Available Full Text

Publisher's Version of Record
https://doi.org/10.1021/acs.jpclett.5b01404

Other availability

Search WorldCat to find libraries that may hold this journal

Citation Metrics:

Cited by: 67 works

Citation information provided by
Web of Science

Save / Share:

Export Metadata

Save to My Library

Works referenced in this record:

Thermodynamics of quantum heat engines
journal, July 2013

Goswami, Himangshu Prabal; Harbola, Upendra
Physical Review A, Vol. 88, Issue 1
DOI: 10.1103/PhysRevA.88.013842

Scattering of coherent states on a single artificial atom
journal, March 2013

Peropadre, B.; Lindkvist, J.; Hoi, I-C
New Journal of Physics, Vol. 15, Issue 3
DOI: 10.1088/1367-2630/15/3/035009

Non-equilibrium spin-boson model: Counting statistics and the heat exchange fluctuation theorem
journal, October 2011

Nicolin, Lena; Segal, Dvira
The Journal of Chemical Physics, Vol. 135, Issue 16
DOI: 10.1063/1.3655674

Thermal machines beyond the weak coupling regime
journal, December 2014

Gallego, R.; Riera, A.; Eisert, J.
New Journal of Physics, Vol. 16, Issue 12
DOI: 10.1088/1367-2630/16/12/125009

A correlated-polaron electronic propagator: Open electronic dynamics beyond the Born-Oppenheimer approximation
journal, December 2012

Parkhill, John A.; Markovich, Thomas; Tempel, David G.
The Journal of Chemical Physics, Vol. 137, Issue 22
DOI: 10.1063/1.4762441

Quantum phase transition in the multimode Dicke model
journal, January 2007

Tolkunov, Denis; Solenov, Dmitry
Physical Review B, Vol. 75, Issue 2
DOI: 10.1103/PhysRevB.75.024402

Demonstration of a Single-Photon Router in the Microwave Regime
journal, August 2011

Hoi, Io-Chun; Wilson, C. M.; Johansson, Göran
Physical Review Letters, Vol. 107, Issue 7
DOI: 10.1103/PhysRevLett.107.073601

Power enhancement of heat engines via correlated thermalization in a three-level “working fluid”
journal, September 2015

Gelbwaser-Klimovsky, David; Niedenzu, Wolfgang; Brumer, Paul
Scientific Reports, Vol. 5, Issue 1
DOI: 10.1038/srep14413

Circuit quantum electrodynamics in the ultrastrong-coupling regime
journal, July 2010

Niemczyk, T.; Deppe, F.; Huebl, H.
Nature Physics, Vol. 6, Issue 10
DOI: 10.1038/nphys1730

Quantum dot Rabi rotations beyond the weak exciton–phonon coupling regime
journal, November 2010

McCutcheon, Dara P. S.; Nazir, Ahsan
New Journal of Physics, Vol. 12, Issue 11
DOI: 10.1088/1367-2630/12/11/113042

Theory of Many-Particle Systems. I
journal, September 1959

Martin, Paul C.; Schwinger, Julian
Physical Review, Vol. 115, Issue 6
DOI: 10.1103/PhysRev.115.1342

Strong-coupling theory for the spin-phonon model
journal, January 1998

Würger, Alois
Physical Review B, Vol. 57, Issue 1
DOI: 10.1103/PhysRevB.57.347

Laser cooling by collisional redistribution of radiation
journal, September 2009

Vogl, Ulrich; Weitz, Martin
Nature, Vol. 461, Issue 7260
DOI: 10.1038/nature08203

Work and efficiency of quantum Otto cycles in power-law trapping potentials
journal, July 2014

Zheng, Yuanjian; Poletti, Dario
Physical Review E, Vol. 90, Issue 1
DOI: 10.1103/PhysRevE.90.012145

Quantum-dot Carnot engine at maximum power
journal, April 2010

Esposito, Massimiliano; Kawai, Ryoichi; Lindenberg, Katja
Physical Review E, Vol. 81, Issue 4
DOI: 10.1103/PhysRevE.81.041106

Completely positive dynamical semigroups of N-level systems
journal, January 1976

Gorini, Vittorio
Journal of Mathematical Physics, Vol. 17, Issue 5
DOI: 10.1063/1.522979

Quantum Thermodynamics: A Dynamical Viewpoint
journal, May 2013

Kosloff, Ronnie
Entropy, Vol. 15, Issue 12
DOI: 10.3390/e15062100

Laser-induced cooling of broadband heat reservoirs
journal, February 2015

Gelbwaser-Klimovsky, D.; Szczygielski, K.; Vogl, U.
Physical Review A, Vol. 91, Issue 2
DOI: 10.1103/PhysRevA.91.023431

Nonequilibrium and Nonperturbative Dynamics of Ultrastrong Coupling in Open Lines
journal, December 2013

Peropadre, B.; Zueco, D.; Porras, D.
Physical Review Letters, Vol. 111, Issue 24
DOI: 10.1103/PhysRevLett.111.243602

Quantum thermodynamic cycles and quantum heat engines
journal, September 2007

Quan, H. T.; Liu, Yu-xi; Sun, C. P.
Physical Review E, Vol. 76, Issue 3
DOI: 10.1103/PhysRevE.76.031105

Variational calculation of the dynamics of a two level system interacting with a bath
journal, March 1984

Silbey, Robert; Harris, Robert A.
The Journal of Chemical Physics, Vol. 80, Issue 6
DOI: 10.1063/1.447055

How Small Can Thermal Machines Be? The Smallest Possible Refrigerator
journal, September 2010

Linden, Noah; Popescu, Sandu; Skrzypczyk, Paul
Physical Review Letters, Vol. 105, Issue 13
DOI: 10.1103/PhysRevLett.105.130401

From Dissipative Dynamics to Studies of Heat Transfer at the Nanoscale: Analysis of the Spin-Boson Model
journal, November 2014

Boudjada, Nazim; Segal, Dvira
The Journal of Physical Chemistry A, Vol. 118, Issue 47
DOI: 10.1021/jp5091685

Heat-machine control by quantum-state preparation: From quantum engines to refrigerators
journal, August 2014

Gelbwaser-Klimovsky, D.; Kurizki, G.
Physical Review E, Vol. 90, Issue 2
DOI: 10.1103/PhysRevE.90.022102

Quantum thermodynamic processes: a control theory for machine cycles
journal, July 2008

Birjukov, J.; Jahnke, T.; Mahler, G.
The European Physical Journal B, Vol. 64, Issue 1
DOI: 10.1140/epjb/e2008-00270-2

Generalized Polaron Ansatz for the Ground State of the Sub-Ohmic Spin-Boson Model: An Analytic Theory of the Localization Transition
journal, October 2011

Chin, Alex W.; Prior, Javier; Huelga, Susana F.
Physical Review Letters, Vol. 107, Issue 16
DOI: 10.1103/PhysRevLett.107.160601

Minimal universal quantum heat machine
journal, January 2013

Gelbwaser-Klimovsky, D.; Alicki, R.; Kurizki, G.
Physical Review E, Vol. 87, Issue 1
DOI: 10.1103/PhysRevE.87.012140

Markovian master equations
journal, June 1974

Davies, E. B.
Communications in Mathematical Physics, Vol. 39, Issue 2
DOI: 10.1007/BF01608389

Markovian master equation and thermodynamics of a two-level system in a strong laser field
journal, January 2013

Szczygielski, Krzysztof; Gelbwaser-Klimovsky, David; Alicki, Robert
Physical Review E, Vol. 87, Issue 1
DOI: 10.1103/PhysRevE.87.012120

Accuracy of second order perturbation theory in the polaron and variational polaron frames
journal, May 2012

Lee, Chee Kong; Moix, Jeremy; Cao, Jianshu
The Journal of Chemical Physics, Vol. 136, Issue 20
DOI: 10.1063/1.4722336

Gradiometric flux qubits with a tunable gap
journal, April 2013

Schwarz, M. J.; Goetz, J.; Jiang, Z.
New Journal of Physics, Vol. 15, Issue 4
DOI: 10.1088/1367-2630/15/4/045001

Resonance Fluorescence of a Single Artificial Atom
journal, February 2010

Astafiev, O.; Zagoskin, A. M.; Abdumalikov, A. A.
Science, Vol. 327, Issue 5967
DOI: 10.1126/science.1181918

Observation of the Bloch-Siegert Shift in a Qubit-Oscillator System in the Ultrastrong Coupling Regime
journal, November 2010

Forn-Díaz, P.; Lisenfeld, J.; Marcos, D.
Physical Review Letters, Vol. 105, Issue 23
DOI: 10.1103/PhysRevLett.105.237001

Statistical-Mechanical Theory of Irreversible Processes. I. General Theory and Simple Applications to Magnetic and Conduction Problems
journal, June 1957

Kubo, Ryogo
Journal of the Physical Society of Japan, Vol. 12, Issue 6
DOI: 10.1143/JPSJ.12.570

Two-level system in spin baths: Non-adiabatic dynamics and heat transport
journal, April 2014

Segal, Dvira
The Journal of Chemical Physics, Vol. 140, Issue 16
DOI: 10.1063/1.4871874

Performance bound for quantum absorption refrigerators
journal, April 2013

Correa, Luis A.; Palao, José P.; Adesso, Gerardo
Physical Review E, Vol. 87, Issue 4
DOI: 10.1103/PhysRevE.87.042131

Microwave quantum optics with an artificial atom in one-dimensional open space
journal, February 2013

Hoi, Io-Chun; Wilson, C. M.; Johansson, Göran
New Journal of Physics, Vol. 15, Issue 2
DOI: 10.1088/1367-2630/15/2/025011

Quantum Absorption Refrigerator
journal, February 2012

Levy, Amikam; Kosloff, Ronnie
Physical Review Letters, Vol. 108, Issue 7
DOI: 10.1103/PhysRevLett.108.070604

On the irreversible performance of a quantum heat engine
journal, March 2002

Geva, Eitan
Journal of Modern Optics, Vol. 49, Issue 3-4
DOI: 10.1080/09500340110090477

Quantum heat engine power can be increased by noise-induced coherence
journal, August 2011

Scully, M. O.; Chapin, K. R.; Dorfman, K. E.
Proceedings of the National Academy of Sciences, Vol. 108, Issue 37
DOI: 10.1073/pnas.1110234108

Nonradiative interaction and entanglement between distant atoms
journal, March 2013

Shahmoon, Ephraim; Kurizki, Gershon
Physical Review A, Vol. 87, Issue 3
DOI: 10.1103/PhysRevA.87.033831

Theory of coherent resonance energy transfer
journal, September 2008

Jang, Seogjoo; Cheng, Yuan-Chung; Reichman, David R.
The Journal of Chemical Physics, Vol. 129, Issue 10
DOI: 10.1063/1.2977974

Nanoscale Heat Engine Beyond the Carnot Limit
journal, January 2014

Roßnagel, J.; Abah, O.; Schmidt-Kaler, F.
Physical Review Letters, Vol. 112, Issue 3
DOI: 10.1103/PhysRevLett.112.030602

Heat transfer in the spin-boson model: A comparative study in the incoherent tunneling regime
journal, July 2014

Segal, Dvira
Physical Review E, Vol. 90, Issue 1
DOI: 10.1103/PhysRevE.90.012148

Similar Records in DOE PAGES and OSTI.GOV collections:

Dynamics of a qubit in a high-impedance transmission line from a bath perspective

Journal Article Bera, Soumya ; Baranger, Harold U. ; Florens, Serge - Physical Review A

We investigate the quantum dynamics of a generic model of light-matter interaction in the context of high-impedance waveguides, focusing on the behavior of the photonic states generated in the waveguide. The model treated consists simply of a two-level system coupled to a bosonic bath (the Ohmic spin-boson model). Quantum quenches as well as scattering of an incident coherent pulse are studied using two complementary methods. First, we develop an approximate ansatz for the electromagnetic waves based on a single multimode coherent state wave function; formally, this approach combines in a single framework ideas from adiabatic renormalization, the Born-Markov approximation, andmore »« less
Cited by 7
https://doi.org/10.1103/physreva.93.033847

Full Text Available
Continuous measurement boosted adiabatic quantum thermal machines

Journal Article Bhandari, Bibek ; Jordan, Andrew N. - Physical Review Research

We present a unified approach to study continuous measurement based quantum thermal machines in static as well as adiabatically driven systems. We investigate both steady state and transient dynamics for the time-independent case. In the adiabatically driven case, we show how measurement based thermodynamic quantities can be attributed geometric characteristics. We also provide the appropriate definition for heat transfer and dissipation owing to continous measurement in the presence and absence of adiabatic driving. We illustrate the aforementioned ideas and study the phenomena of refrigeration in two different paradigmatic examples: a coupled quantum dot and a coupled qubit system, both undergoingmore »« less
https://doi.org/10.1103/PhysRevResearch.4.033103
On the operation of machines powered by quantum non-thermal baths

Journal Article Niedenzu, Wolfgang ; Gelbwaser-Klimovsky, David ; Kofman, Abraham G. ; ... - New Journal of Physics

Diverse models of engines energised by quantum-coherent, hence non-thermal, baths allow the engine efficiency to transgress the standard thermodynamic Carnot bound. These transgressions call for an elucidation of the underlying mechanisms. Here we show that non-thermal baths may impart not only heat, but also mechanical work to a machine. The Carnot bound is inapplicable to such a hybrid machine. Intriguingly, it may exhibit dual action, concurrently as engine and refrigerator, with up to 100% efficiency. Here, we conclude that even though a machine powered by a quantum bath may exhibit an unconventional performance, it still abides by the traditional principlesmore » of thermodynamics.« less
Cited by 99
https://doi.org/10.1088/1367-2630/18/8/083012
Input-output theory of cavities in the ultrastrong coupling regime: The case of time-independent cavity parameters

Journal Article Ciuti, Cristiano ; Carusotto, Iacopo - Physical Review. A

We present a full quantum theory for the dissipative dynamics of an optical cavity in the ultrastrong light-matter coupling regime, in which the vacuum Rabi frequency is a significant fraction of the active electronic transition frequency and the antiresonant terms of the light-matter coupling play an important role. In particular, our model can be applied to the case of intersubband transitions in doped semiconductor quantum wells embedded in a microcavity. The coupling of the intracavity photonic mode and of the electronic polarization to the external, frequency-dependent, dissipation baths is taken into account by means of quantum Langevin equations in themore »« less
https://doi.org/10.1103/PHYSREVA.74.033811
Classical information driven quantum dot thermal machines

Journal Article Shah, Abhin ; Vinjanampathy, Sai ; Centre for Quantum Technologies, National University of Singapore, 3 Science Drive 2, Singapore 117543 ; ... - Annals of Physics

We analyze the transient response of quantum dot thermal machines that can be driven by hyperfine interaction acting as a source of classical information. Our setup comprises a quantum dot coupled to two contacts that drive heat flow while coupled to a nuclear spin bath. The quantum dot thermal machines operate both as batteries and as engines, depending on the parameter range. The electrons in the quantum dot interact with the nuclear spins via hyperfine spin-flip processes as typically seen in solid state systems such as GaAs quantum dots. The hyperfine interaction in such systems, which is often treated asmore »« less
https://doi.org/10.1016/J.AOP.2018.07.032

Similar Records

Title: Strongly Coupled Quantum Heat Machines

Abstract

Citation Formats

Thermodynamics of quantum heat engines journal, July 2013

Scattering of coherent states on a single artificial atom journal, March 2013

Non-equilibrium spin-boson model: Counting statistics and the heat exchange fluctuation theorem journal, October 2011

Thermal machines beyond the weak coupling regime journal, December 2014

A correlated-polaron electronic propagator: Open electronic dynamics beyond the Born-Oppenheimer approximation journal, December 2012

Quantum phase transition in the multimode Dicke model journal, January 2007

Demonstration of a Single-Photon Router in the Microwave Regime journal, August 2011

Power enhancement of heat engines via correlated thermalization in a three-level “working fluid” journal, September 2015

Circuit quantum electrodynamics in the ultrastrong-coupling regime journal, July 2010

Quantum dot Rabi rotations beyond the weak exciton–phonon coupling regime journal, November 2010

Theory of Many-Particle Systems. I journal, September 1959

Strong-coupling theory for the spin-phonon model journal, January 1998

Laser cooling by collisional redistribution of radiation journal, September 2009

Work and efficiency of quantum Otto cycles in power-law trapping potentials journal, July 2014

Quantum-dot Carnot engine at maximum power journal, April 2010

Completely positive dynamical semigroups of N-level systems journal, January 1976

Quantum Thermodynamics: A Dynamical Viewpoint journal, May 2013

Laser-induced cooling of broadband heat reservoirs journal, February 2015

Nonequilibrium and Nonperturbative Dynamics of Ultrastrong Coupling in Open Lines journal, December 2013

Quantum thermodynamic cycles and quantum heat engines journal, September 2007

Variational calculation of the dynamics of a two level system interacting with a bath journal, March 1984

How Small Can Thermal Machines Be? The Smallest Possible Refrigerator journal, September 2010

From Dissipative Dynamics to Studies of Heat Transfer at the Nanoscale: Analysis of the Spin-Boson Model journal, November 2014

Heat-machine control by quantum-state preparation: From quantum engines to refrigerators journal, August 2014

Quantum thermodynamic processes: a control theory for machine cycles journal, July 2008

Generalized Polaron Ansatz for the Ground State of the Sub-Ohmic Spin-Boson Model: An Analytic Theory of the Localization Transition journal, October 2011

Minimal universal quantum heat machine journal, January 2013

Markovian master equations journal, June 1974

Markovian master equation and thermodynamics of a two-level system in a strong laser field journal, January 2013

Accuracy of second order perturbation theory in the polaron and variational polaron frames journal, May 2012

Gradiometric flux qubits with a tunable gap journal, April 2013

Resonance Fluorescence of a Single Artificial Atom journal, February 2010

Observation of the Bloch-Siegert Shift in a Qubit-Oscillator System in the Ultrastrong Coupling Regime journal, November 2010

Statistical-Mechanical Theory of Irreversible Processes. I. General Theory and Simple Applications to Magnetic and Conduction Problems journal, June 1957

Two-level system in spin baths: Non-adiabatic dynamics and heat transport journal, April 2014

Performance bound for quantum absorption refrigerators journal, April 2013

Microwave quantum optics with an artificial atom in one-dimensional open space journal, February 2013

Quantum Absorption Refrigerator journal, February 2012

On the irreversible performance of a quantum heat engine journal, March 2002

Quantum heat engine power can be increased by noise-induced coherence journal, August 2011

Nonradiative interaction and entanglement between distant atoms journal, March 2013

Theory of coherent resonance energy transfer journal, September 2008

Nanoscale Heat Engine Beyond the Carnot Limit journal, January 2014

Heat transfer in the spin-boson model: A comparative study in the incoherent tunneling regime journal, July 2014

Thermodynamics of quantum heat engines
journal, July 2013

Scattering of coherent states on a single artificial atom
journal, March 2013

Non-equilibrium spin-boson model: Counting statistics and the heat exchange fluctuation theorem
journal, October 2011

Thermal machines beyond the weak coupling regime
journal, December 2014

A correlated-polaron electronic propagator: Open electronic dynamics beyond the Born-Oppenheimer approximation
journal, December 2012

Quantum phase transition in the multimode Dicke model
journal, January 2007

Demonstration of a Single-Photon Router in the Microwave Regime
journal, August 2011

Power enhancement of heat engines via correlated thermalization in a three-level “working fluid”
journal, September 2015

Circuit quantum electrodynamics in the ultrastrong-coupling regime
journal, July 2010

Quantum dot Rabi rotations beyond the weak exciton–phonon coupling regime
journal, November 2010

Theory of Many-Particle Systems. I
journal, September 1959

Strong-coupling theory for the spin-phonon model
journal, January 1998

Laser cooling by collisional redistribution of radiation
journal, September 2009

Work and efficiency of quantum Otto cycles in power-law trapping potentials
journal, July 2014

Quantum-dot Carnot engine at maximum power
journal, April 2010

Completely positive dynamical semigroups of N-level systems
journal, January 1976

Quantum Thermodynamics: A Dynamical Viewpoint
journal, May 2013

Laser-induced cooling of broadband heat reservoirs
journal, February 2015

Nonequilibrium and Nonperturbative Dynamics of Ultrastrong Coupling in Open Lines
journal, December 2013

Quantum thermodynamic cycles and quantum heat engines
journal, September 2007

Variational calculation of the dynamics of a two level system interacting with a bath
journal, March 1984

How Small Can Thermal Machines Be? The Smallest Possible Refrigerator
journal, September 2010

From Dissipative Dynamics to Studies of Heat Transfer at the Nanoscale: Analysis of the Spin-Boson Model
journal, November 2014

Heat-machine control by quantum-state preparation: From quantum engines to refrigerators
journal, August 2014

Quantum thermodynamic processes: a control theory for machine cycles
journal, July 2008

Generalized Polaron Ansatz for the Ground State of the Sub-Ohmic Spin-Boson Model: An Analytic Theory of the Localization Transition
journal, October 2011

Minimal universal quantum heat machine
journal, January 2013

Markovian master equations
journal, June 1974

Markovian master equation and thermodynamics of a two-level system in a strong laser field
journal, January 2013

Accuracy of second order perturbation theory in the polaron and variational polaron frames
journal, May 2012

Gradiometric flux qubits with a tunable gap
journal, April 2013

Resonance Fluorescence of a Single Artificial Atom
journal, February 2010

Observation of the Bloch-Siegert Shift in a Qubit-Oscillator System in the Ultrastrong Coupling Regime
journal, November 2010

Statistical-Mechanical Theory of Irreversible Processes. I. General Theory and Simple Applications to Magnetic and Conduction Problems
journal, June 1957

Two-level system in spin baths: Non-adiabatic dynamics and heat transport
journal, April 2014

Performance bound for quantum absorption refrigerators
journal, April 2013

Microwave quantum optics with an artificial atom in one-dimensional open space
journal, February 2013

Quantum Absorption Refrigerator
journal, February 2012

On the irreversible performance of a quantum heat engine
journal, March 2002

Quantum heat engine power can be increased by noise-induced coherence
journal, August 2011

Nonradiative interaction and entanglement between distant atoms
journal, March 2013

Theory of coherent resonance energy transfer
journal, September 2008

Nanoscale Heat Engine Beyond the Carnot Limit
journal, January 2014

Heat transfer in the spin-boson model: A comparative study in the incoherent tunneling regime
journal, July 2014