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Title: Stochastic equation of motion approach to fermionic dissipative dynamics. I. Formalism

Abstract

In this work, we establish formally exact stochastic equation of motion (SEOM) theory to describe the dissipative dynamics of fermionic open systems. The construction of the SEOM is based on a stochastic decoupling of the dissipative interaction between the system and fermionic environment, and the influence of environmental fluctuations on the reduced system dynamics is characterized by stochastic Grassmann fields. Meanwhile, numerical realization of the time-dependent Grassmann fields has remained a long-standing challenge. To solve this problem, we propose a minimal auxiliary space (MAS) mapping scheme with which the stochastic Grassmann fields are represented by conventional c-number fields along with a set of pseudo-levels. This eventually leads to a numerically feasible MAS-SEOM method. The important properties of the MAS-SEOM are analyzed by making connection to the well-established time-dependent perturbation theory and the hierarchical equations of motion theory. The MAS-SEOM method provides a potentially promising approach for the accurate and efficient simulation of fermionic open systems at ultra-low temperatures.

Authors:
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Publication Date:
Sponsoring Org.:
USDOE
OSTI Identifier:
1630974
Resource Type:
Publisher's Accepted Manuscript
Journal Name:
Journal of Chemical Physics
Additional Journal Information:
Journal Name: Journal of Chemical Physics Journal Volume: 152 Journal Issue: 20; Journal ID: ISSN 0021-9606
Publisher:
American Institute of Physics
Country of Publication:
United States
Language:
English

Citation Formats

Han, Lu, Ullah, Arif, Yan, Yun-An, Zheng, Xiao, Yan, YiJing, and Chernyak, Vladimir. Stochastic equation of motion approach to fermionic dissipative dynamics. I. Formalism. United States: N. p., 2020. Web. doi:10.1063/1.5142164.
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Han, Lu, Ullah, Arif, Yan, Yun-An, Zheng, Xiao, Yan, YiJing, & Chernyak, Vladimir. Stochastic equation of motion approach to fermionic dissipative dynamics. I. Formalism. United States. https://doi.org/10.1063/1.5142164
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Han, Lu, Ullah, Arif, Yan, Yun-An, Zheng, Xiao, Yan, YiJing, and Chernyak, Vladimir. Wed . "Stochastic equation of motion approach to fermionic dissipative dynamics. I. Formalism". United States. https://doi.org/10.1063/1.5142164.
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@article{osti_1630974,
title = {Stochastic equation of motion approach to fermionic dissipative dynamics. I. Formalism},
author = {Han, Lu and Ullah, Arif and Yan, Yun-An and Zheng, Xiao and Yan, YiJing and Chernyak, Vladimir},
abstractNote = {In this work, we establish formally exact stochastic equation of motion (SEOM) theory to describe the dissipative dynamics of fermionic open systems. The construction of the SEOM is based on a stochastic decoupling of the dissipative interaction between the system and fermionic environment, and the influence of environmental fluctuations on the reduced system dynamics is characterized by stochastic Grassmann fields. Meanwhile, numerical realization of the time-dependent Grassmann fields has remained a long-standing challenge. To solve this problem, we propose a minimal auxiliary space (MAS) mapping scheme with which the stochastic Grassmann fields are represented by conventional c-number fields along with a set of pseudo-levels. This eventually leads to a numerically feasible MAS-SEOM method. The important properties of the MAS-SEOM are analyzed by making connection to the well-established time-dependent perturbation theory and the hierarchical equations of motion theory. The MAS-SEOM method provides a potentially promising approach for the accurate and efficient simulation of fermionic open systems at ultra-low temperatures.},
doi = {10.1063/1.5142164},
journal = {Journal of Chemical Physics},
number = 20,
volume = 152,
place = {United States},
year = {Wed May 27 00:00:00 EDT 2020},
month = {Wed May 27 00:00:00 EDT 2020}
}
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Works referenced in this record:

Anisotropy induced Kondo splitting in a mechanically stretched molecular junction: A first-principles based study
journal, January 2016

  • Wang, Xiaoli; Hou, Dong; Zheng, Xiao
  • The Journal of Chemical Physics, Vol. 144, Issue 3
  • DOI: 10.1063/1.4939843

Electron transfer dynamics: Zusman equation versus exact theory
journal, April 2009

  • Shi, Qiang; Chen, Liping; Nan, Guangjun
  • The Journal of Chemical Physics, Vol. 130, Issue 16
  • DOI: 10.1063/1.3125003

Hermitian non-Markovian stochastic master equations for quantum dissipative dynamics
journal, August 2015

A unified stochastic formulation of dissipative quantum dynamics. II. Beyond linear response of spin baths
journal, January 2018

  • Hsieh, Chang-Yu; Cao, Jianshu
  • The Journal of Chemical Physics, Vol. 148, Issue 1
  • DOI: 10.1063/1.5018726

Stochastic Representation of Non-Markovian Fermionic Quantum Dissipation
journal, July 2019

Theoretical examination of quantum coherence in a photosynthetic system at physiological temperature
journal, October 2009

  • Ishizaki, A.; Fleming, G. R.
  • Proceedings of the National Academy of Sciences, Vol. 106, Issue 41
  • DOI: 10.1073/pnas.0908989106

A unified stochastic formulation of dissipative quantum dynamics. I. Generalized hierarchical equations
journal, January 2018

  • Hsieh, Chang-Yu; Cao, Jianshu
  • The Journal of Chemical Physics, Vol. 148, Issue 1
  • DOI: 10.1063/1.5018725

Stochastic equation of motion approach to fermionic dissipative dynamics. II. Numerical implementation
journal, May 2020

  • Ullah, Arif; Han, Lu; Yan, Yun-An
  • The Journal of Chemical Physics, Vol. 152, Issue 20
  • DOI: 10.1063/1.5142166

On the exact truncation tier of fermionic hierarchical equations of motion
journal, June 2018

  • Han, Lu; Zhang, Hou-Dao; Zheng, Xiao
  • The Journal of Chemical Physics, Vol. 148, Issue 23
  • DOI: 10.1063/1.5034776

A hybrid stochastic hierarchy equations of motion approach to treat the low temperature dynamics of non-Markovian open quantum systems
journal, October 2013

  • Moix, Jeremy M.; Cao, Jianshu
  • The Journal of Chemical Physics, Vol. 139, Issue 13
  • DOI: 10.1063/1.4822043

Stochastic description of quantum Brownian dynamics
journal, May 2016

A novel method for simulating quantum dissipative systems
journal, March 1996

  • Cao, Jianshu; Ungar, Lowell W.; Voth, Gregory A.
  • The Journal of Chemical Physics, Vol. 104, Issue 11
  • DOI: 10.1063/1.471230

Dynamic Coulomb blockade in single-lead quantum dots
journal, September 2008

Fermion Ito's formula and stochastic evolutions
journal, December 1984

  • Applebaum, D. B.; Hudson, R. L.
  • Communications in Mathematical Physics, Vol. 96, Issue 4
  • DOI: 10.1007/bf01212531

Fermion Ito's formula. II. The gauge process in fermion Fock space
journal, January 1987

  • Applebaum, David
  • Publications of the Research Institute for Mathematical Sciences, Vol. 23, Issue 1
  • DOI: 10.2977/prims/1195176845

Dynamics of a One-Dimensional Holstein Polaron with the Hierarchical Equations of Motion Approach
journal, July 2015

  • Chen, Lipeng; Zhao, Yang; Tanimura, Yoshitaka
  • The Journal of Physical Chemistry Letters, Vol. 6, Issue 15
  • DOI: 10.1021/acs.jpclett.5b01368

Stochastic Feshbach Projection for the Dynamics of Open Quantum Systems
journal, October 2017

Communication: Padé spectrum decomposition of Fermi function and Bose function
journal, September 2010

  • Hu, Jie; Xu, Rui-Xue; Yan, YiJing
  • The Journal of Chemical Physics, Vol. 133, Issue 10
  • DOI: 10.1063/1.3484491

Colloquium : Non-Markovian dynamics in open quantum systems
journal, April 2016

Inelastic electron transport through mesoscopic systems: Heating versus cooling and sequential tunneling versus cotunneling processes
journal, June 2012

Exact non-Markovian master equations for multiple qubit systems: Quantum-trajectory approach
journal, November 2014

Equivalence of stochastic formulations and master equations for open systems
journal, April 2018

Efficient hierarchical Liouville space propagator to quantum dissipative dynamics
journal, February 2009

  • Shi, Qiang; Chen, Liping; Nan, Guangjun
  • The Journal of Chemical Physics, Vol. 130, Issue 8
  • DOI: 10.1063/1.3077918

Kondo Memory in Driven Strongly Correlated Quantum Dots
journal, August 2013

Scalable High-Performance Algorithm for the Simulation of Exciton Dynamics. Application to the Light-Harvesting Complex II in the Presence of Resonant Vibrational Modes
journal, August 2014

  • Kreisbeck, Christoph; Kramer, Tobias; Aspuru-Guzik, Alán
  • Journal of Chemical Theory and Computation, Vol. 10, Issue 9
  • DOI: 10.1021/ct500629s

Beyond Marcus theory and the Landauer-Büttiker approach in molecular junctions: A unified framework
journal, October 2018

  • Sowa, Jakub K.; Mol, Jan A.; Briggs, G. Andrew D.
  • The Journal of Chemical Physics, Vol. 149, Issue 15
  • DOI: 10.1063/1.5049537

Solving the spin-boson model of strong dissipation with flexible random-deterministic scheme
journal, January 2008

  • Zhou, Yun; Shao, Jiushu
  • The Journal of Chemical Physics, Vol. 128, Issue 3
  • DOI: 10.1063/1.2818095

Stochastic simulation of quantum dissipative dynamics
journal, November 2005

Exact quantum master equation via the calculus on path integrals
journal, January 2005

  • Xu, Rui-Xue; Cui, Ping; Li, Xin-Qi
  • The Journal of Chemical Physics, Vol. 122, Issue 4
  • DOI: 10.1063/1.1850899

Environmental dynamics, correlations, and the emergence of noncanonical equilibrium states in open quantum systems
journal, September 2014

Non-Markovian quantum state diffusion for an open quantum system in fermionic environments
journal, May 2013

Quantum stochastic processes as models for state vector reduction
journal, July 1988

Improving the efficiency of hierarchical equations of motion approach and application to coherent dynamics in Aharonov–Bohm interferometers
journal, March 2015

  • Hou, Dong; Wang, Shikuan; Wang, Rulin
  • The Journal of Chemical Physics, Vol. 142, Issue 10
  • DOI: 10.1063/1.4914514

Stochastic Liouville Equations
journal, February 1963

  • Kubo, Ryogo
  • Journal of Mathematical Physics, Vol. 4, Issue 2
  • DOI: 10.1063/1.1703941

Exact mapping between system-reservoir quantum models and semi-infinite discrete chains using orthogonal polynomials
journal, September 2010

  • Chin, Alex W.; Rivas, Ángel; Huelga, Susana F.
  • Journal of Mathematical Physics, Vol. 51, Issue 9
  • DOI: 10.1063/1.3490188

Optical Stark Spectroscopy of a Brownian Oscillator in Intense Fields
journal, January 1994

  • Tanimura, Yoshitaka; Mukamel, Shaul
  • Journal of the Physical Society of Japan, Vol. 63, Issue 1
  • DOI: 10.1143/jpsj.63.66

Improved master equation approach to quantum transport: From Born to self-consistent Born approximation
journal, June 2014

  • Jin, Jinshuang; Li, Jun; Liu, Yu
  • The Journal of Chemical Physics, Vol. 140, Issue 24
  • DOI: 10.1063/1.4884390

Non-Markovian dynamics of quantum open systems embedded in a hybrid environment
journal, June 2017

Non-Markovian quantum state diffusion
journal, September 1998

Modelling of oscillations in two-dimensional echo-spectra of the Fenna–Matthews–Olson complex
journal, February 2012

Optimized auxiliary oscillators for the simulation of general open quantum systems
journal, May 2020

Complex non-Markovian effect on time-dependent quantum transport
journal, March 2009

  • Zheng, Xiao; Luo, JunYan; Jin, Jinshuang
  • The Journal of Chemical Physics, Vol. 130, Issue 12
  • DOI: 10.1063/1.3095424

Fermionic path integration and Grassmann Brownian motion
journal, September 1987

  • Rogers, Alice
  • Communications in Mathematical Physics, Vol. 113, Issue 3
  • DOI: 10.1007/bf01221250

Spins Dynamics in a Dissipative Environment: Hierarchal Equations of Motion Approach Using a Graphics Processing Unit (GPU)
journal, July 2015

  • Tsuchimoto, Masashi; Tanimura, Yoshitaka
  • Journal of Chemical Theory and Computation, Vol. 11, Issue 8
  • DOI: 10.1021/acs.jctc.5b00488

Beyond Marcus theory and the Landauer–Büttiker approach in molecular junctions. II. A self-consistent Born approach
journal, February 2020

  • Sowa, Jakub K.; Lambert, Neill; Seideman, Tamar
  • The Journal of Chemical Physics, Vol. 152, Issue 6
  • DOI: 10.1063/1.5143146

Quantum transport from the perspective of quantum open systems
journal, September 2006

High-Performance Solution of Hierarchical Equations of Motion for Studying Energy Transfer in Light-Harvesting Complexes
journal, June 2011

  • Kreisbeck, Christoph; Kramer, Tobias; Rodríguez, Mirta
  • Journal of Chemical Theory and Computation, Vol. 7, Issue 7
  • DOI: 10.1021/ct200126d

Modelling the ultra-strongly coupled spin-boson model with unphysical modes
journal, August 2019

Simulation of the two-dimensional electronic spectra of the Fenna-Matthews-Olson complex using the hierarchical equations of motion method
journal, May 2011

  • Chen, Liping; Zheng, Renhui; Jing, Yuanyuan
  • The Journal of Chemical Physics, Vol. 134, Issue 19
  • DOI: 10.1063/1.3589982

Inelastic electron tunneling spectroscopy in molecular junctions: Peaks and dips
journal, December 2004

  • Galperin, Michael; Ratner, Mark A.; Nitzan, Abraham
  • The Journal of Chemical Physics, Vol. 121, Issue 23
  • DOI: 10.1063/1.1814076

Low-frequency logarithmic discretization of the reservoir spectrum for improving the efficiency of hierarchical equations of motion approach
journal, August 2017

  • Ye, LvZhou; Zhang, Hou-Dao; Wang, Yao
  • The Journal of Chemical Physics, Vol. 147, Issue 7
  • DOI: 10.1063/1.4999027

Entanglement dynamics of two qubits in a common bath
journal, June 2012

Reduced hierarchical equations of motion in real and imaginary time: Correlated initial states and thermodynamic quantities
journal, July 2014

  • Tanimura, Yoshitaka
  • The Journal of Chemical Physics, Vol. 141, Issue 4
  • DOI: 10.1063/1.4890441

Understanding the Kondo resonance in the d-CoPc/Au(111) adsorption system
journal, August 2014

  • Wang, Yu; Zheng, Xiao; Li, Bin
  • The Journal of Chemical Physics, Vol. 141, Issue 8
  • DOI: 10.1063/1.4893953

Non-Markovian Relaxation of a Three-Level System: Quantum Trajectory Approach
journal, December 2010

Decoupling quantum dissipation interaction via stochastic fields
journal, March 2004

  • Shao, Jiushu
  • The Journal of Chemical Physics, Vol. 120, Issue 11
  • DOI: 10.1063/1.1647528

The Itô-Clifford Integral II-Stochastic Differential Equations
journal, April 1983

  • Barnett, C.; Streater, R. F.; Wilde, I. F.
  • Journal of the London Mathematical Society, Vol. s2-27, Issue 2
  • DOI: 10.1112/jlms/s2-27.2.373

Fermionic stochastic Schrödinger equation and master equation: An open-system model
journal, September 2012

Efficient simulation of open quantum systems coupled to a fermionic bath
journal, April 2020

Quantum Interference in Singlet Fission: J- and H-Aggregate Behavior
journal, October 2017

Extending the hierarchical quantum master equation approach to low temperatures and realistic band structures
journal, August 2018

  • Erpenbeck, A.; Hertlein, C.; Schinabeck, C.
  • The Journal of Chemical Physics, Vol. 149, Issue 6
  • DOI: 10.1063/1.5041716

Quantum heat transport of a two-qubit system: Interplay between system-bath coherence and qubit-qubit coherence
journal, August 2015

  • Kato, Akihito; Tanimura, Yoshitaka
  • The Journal of Chemical Physics, Vol. 143, Issue 6
  • DOI: 10.1063/1.4928192

Hierarchical equations of motion method based on Fano spectrum decomposition for low temperature environments
journal, February 2020

  • Zhang, Hou-Dao; Cui, Lei; Gong, Hong
  • The Journal of Chemical Physics, Vol. 152, Issue 6
  • DOI: 10.1063/1.5136093

Linear quantum state diffusion for non-Markovian open quantum systems
journal, December 1996

Extended hierarchy equation of motion for the spin-boson model
journal, December 2015

  • Tang, Zhoufei; Ouyang, Xiaolong; Gong, Zhihao
  • The Journal of Chemical Physics, Vol. 143, Issue 22
  • DOI: 10.1063/1.4936924

Modeling vibrational dephasing and energy relaxation of intramolecular anharmonic modes for multidimensional infrared spectroscopies
journal, August 2006

  • Ishizaki, Akihito; Tanimura, Yoshitaka
  • The Journal of Chemical Physics, Vol. 125, Issue 8
  • DOI: 10.1063/1.2244558

Reduced quantum dynamics with arbitrary bath spectral densities: Hierarchical equations of motion based on several different bath decomposition schemes
journal, April 2014

  • Liu, Hao; Zhu, Lili; Bai, Shuming
  • The Journal of Chemical Physics, Vol. 140, Issue 13
  • DOI: 10.1063/1.4870035

The non-Markovian stochastic Schrödinger equation for open systems
journal, November 1997

Wave-function approach to dissipative processes: are there quantum jumps?
journal, July 1992

Thermopower of few-electron quantum dots with Kondo correlations
journal, October 2014

Kondo screening and spin excitation in few-layer CoPc molecular assembly stacking on Pb(111) surface: A DFT+HEOM study
journal, October 2016

  • Wang, Yu; Zheng, Xiao; Yang, Jinlong
  • The Journal of Chemical Physics, Vol. 145, Issue 15
  • DOI: 10.1063/1.4964675

Hierarchical approach based on stochastic decoupling to dissipative systems
journal, September 2004

Open Quantum Dynamics Calculations with the Hierarchy Equations of Motion on Parallel Computers
journal, July 2012

  • Strümpfer, Johan; Schulten, Klaus
  • Journal of Chemical Theory and Computation, Vol. 8, Issue 8
  • DOI: 10.1021/ct3003833

Highly efficient and accurate sum-over-poles expansion of Fermi and Bose functions at near zero temperatures: Fano spectrum decomposition scheme
journal, July 2019

  • Cui, Lei; Zhang, Hou-Dao; Zheng, Xiao
  • The Journal of Chemical Physics, Vol. 151, Issue 2
  • DOI: 10.1063/1.5096945

The It�-Clifford integral III. The Markov property of solutions to stochastic differential equations
journal, March 1983

  • Barnett, C.; Streater, R. F.; Wilde, I. F.
  • Communications in Mathematical Physics, Vol. 89, Issue 1
  • DOI: 10.1007/bf01219522

Unified treatment of quantum coherent and incoherent hopping dynamics in electronic energy transfer: Reduced hierarchy equation approach
journal, June 2009

  • Ishizaki, Akihito; Fleming, Graham R.
  • The Journal of Chemical Physics, Vol. 130, Issue 23
  • DOI: 10.1063/1.3155372

Hierarchical quantum master equation approach to electronic-vibrational coupling in nonequilibrium transport through nanosystems
journal, November 2016

Visualization of Hot Exciton Energy Relaxation from Coherent to Diffusive Regimes in Conjugated Polymers: A Theoretical Analysis
journal, April 2015

Quantum master-equation approach to quantum transport through mesoscopic systems
journal, May 2005

Chebyshev hierarchical equations of motion for systems with arbitrary spectral densities and temperatures
journal, June 2019

  • Rahman, Hasan; Kleinekathöfer, Ulrich
  • The Journal of Chemical Physics, Vol. 150, Issue 24
  • DOI: 10.1063/1.5100102

Hierarchical Dynamics of Correlated System−Environment Coherence and Optical Spectroscopy
journal, May 2011

  • Zhu, Kun-Bo; Xu, Rui-Xue; Zhang, Hou Yu
  • The Journal of Physical Chemistry B, Vol. 115, Issue 18
  • DOI: 10.1021/jp2002244

Exact dynamics of dissipative electronic systems and quantum transport: Hierarchical equations of motion approach
journal, June 2008

  • Jin, Jinshuang; Zheng, Xiao; Yan, YiJing
  • The Journal of Chemical Physics, Vol. 128, Issue 23
  • DOI: 10.1063/1.2938087

Quantum Langevin equation from forward-backward path integral
journal, April 1995

Nonperturbative Treatment of non-Markovian Dynamics of Open Quantum Systems
journal, January 2018

Continuous quantum jumps and infinite‐dimensional stochastic equations
journal, August 1991

  • Gatarek, Dariusz; Gisin, Nicolas
  • Journal of Mathematical Physics, Vol. 32, Issue 8
  • DOI: 10.1063/1.529188

Padé spectrum decompositions of quantum distribution functions and optimal hierarchical equations of motion construction for quantum open systems
journal, June 2011

  • Hu, Jie; Luo, Meng; Jiang, Feng
  • The Journal of Chemical Physics, Vol. 134, Issue 24
  • DOI: 10.1063/1.3602466

Hierarchical Equations for Open System Dynamics in Fermionic and Bosonic Environments
journal, March 2015

Dynamic electronic response of a quantum dot driven by time-dependent voltage
journal, November 2008

  • Zheng, Xiao; Jin, Jinshuang; Yan, YiJing
  • The Journal of Chemical Physics, Vol. 129, Issue 18
  • DOI: 10.1063/1.3010886

A unified view of hierarchy approach and formula of differentiation
journal, October 2019

  • Yan, Yun-An; Wang, Haobin; Shao, Jiushu
  • The Journal of Chemical Physics, Vol. 151, Issue 16
  • DOI: 10.1063/1.5126341

The Itô-Clifford integral
journal, September 1982

Electronic Maxwell demon in the coherent strong-coupling regime
journal, May 2018

Quantum entanglement of parallel-coupled double quantum dots: A theoretical study using the hierarchical equations of motion approach
journal, August 2018

Environment-modulated Kondo phenomena in FePc/Au(111) adsorption systems
journal, March 2016

Numerical approach to time-dependent quantum transport and dynamical Kondo transition
journal, April 2009

  • Zheng, Xiao; Jin, Jinshuang; Welack, Sven
  • The Journal of Chemical Physics, Vol. 130, Issue 16
  • DOI: 10.1063/1.3123526

Exciton–vibrational coupling in the dynamics and spectroscopy of Frenkel excitons in molecular aggregates
journal, March 2015

Förster resonance energy transfer, absorption and emission spectra in multichromophoric systems. III. Exact stochastic path integral evaluation
journal, March 2015

  • Moix, Jeremy M.; Ma, Jian; Cao, Jianshu
  • The Journal of Chemical Physics, Vol. 142, Issue 9
  • DOI: 10.1063/1.4908601

Numerical path integral techniques for long time dynamics of quantum dissipative systems
journal, May 1995

  • Makri, Nancy
  • Journal of Mathematical Physics, Vol. 36, Issue 5
  • DOI: 10.1063/1.531046

Förster resonance energy transfer, absorption and emission spectra in multichromophoric systems. II. Hybrid cumulant expansion
journal, March 2015

  • Ma, Jian; Moix, Jeremy; Cao, Jianshu
  • The Journal of Chemical Physics, Vol. 142, Issue 9
  • DOI: 10.1063/1.4908600

Effects of Herzberg–Teller vibronic coupling on coherent excitation energy transfer
journal, November 2016

  • Zhang, Hou-Dao; Qiao, Qin; Xu, Rui-Xue
  • The Journal of Chemical Physics, Vol. 145, Issue 20
  • DOI: 10.1063/1.4968031

Numerically exact path-integral simulation of nonequilibrium quantum transport and dissipation
journal, November 2010

A new method to account for the difference between classical and quantum baths in quantum dissipative dynamics
journal, September 2013

Hierarchical Liouville-space approach to nonequilibrium dynamical properties of quantum impurity systems
journal, July 2013

Multistate electron transfer dynamics in the condensed phase: Exact calculations from the reduced hierarchy equations of motion approach
journal, June 2010

  • Tanaka, Midori; Tanimura, Yoshitaka
  • The Journal of Chemical Physics, Vol. 132, Issue 21
  • DOI: 10.1063/1.3428674

The quantum-state diffusion model applied to open systems
journal, November 1992

Hierarchical equations of motion for an impurity solver in dynamical mean-field theory
journal, July 2014

Efficient calculation of open quantum system dynamics and time-resolved spectroscopy with distributed memory HEOM (DM-HEOM)
journal, June 2018

  • Kramer, Tobias; Noack, Matthias; Reinefeld, Alexander
  • Journal of Computational Chemistry, Vol. 39, Issue 22
  • DOI: 10.1002/jcc.25354

Iterative real-time path integral approach to nonequilibrium quantum transport
journal, May 2008

Non-Markovian Entanglement Dynamics in the Presence of System-Bath Coherence
journal, June 2010

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