Quantum engines and refrigerators

LM Cangemi, C Bhadra, A Levy - Physics Reports, 2024‏ - Elsevier
Engines are systems and devices that convert one form of energy into another, typically into
a more useful form that can perform work. In the classical setup, physical, chemical, and …

[HTML][HTML] Numerically “exact” approach to open quantum dynamics: The hierarchical equations of motion (HEOM)

Y Tanimura - The Journal of chemical physics, 2020‏ - pubs.aip.org
An open quantum system refers to a system that is further coupled to a bath system
consisting of surrounding radiation fields, atoms, molecules, or proteins. The bath system is …

HEOM‐QUICK: a program for accurate, efficient, and universal characterization of strongly correlated quantum impurity systems

LZ Ye, X Wang, D Hou, RX Xu… - Wiley Interdisciplinary …, 2016‏ - Wiley Online Library
Accurate characterization of correlated electronic states, as well as their evolution under
external fields or in dissipative environment, is essentially important for understanding the …

Introduction to quantum thermodynamics: History and prospects

R Alicki, R Kosloff - … in the Quantum Regime: Fundamental Aspects and …, 2019‏ - Springer
Quantum Thermodynamics is a continuous dialogue between two independent theories:
Thermodynamics and Quantum Mechanics. Whenever the two theories have addressed the …

General non-Markovian dynamics of open quantum systems

WM Zhang, PY Lo, HN **ong, MWY Tu, F Nori - Physical review letters, 2012‏ - APS
We present a general theory of non-Markovian dynamics for open systems of noninteracting
fermions (bosons) linearly coupled to thermal environments of noninteracting fermions …

Taming the dynamical sign problem in real-time evolution of quantum many-body problems

G Cohen, E Gull, DR Reichman, AJ Millis - Physical review letters, 2015‏ - APS
Current nonequilibrium Monte Carlo methods suffer from a dynamical sign problem that
makes simulating real-time dynamics for long times exponentially hard. We propose a new …

Efficient method for quantum impurity problems out of equilibrium

J Thoenniss, M Sonner, A Lerose, DA Abanin - Physical Review B, 2023‏ - APS
We introduce an efficient method to simulate the dynamics of an interacting quantum
impurity coupled to noninteracting fermionic reservoirs. Viewing the impurity as an open …

[HTML][HTML] Universal time-domain Prony fitting decomposition for optimized hierarchical quantum master equations

ZH Chen, Y Wang, X Zheng, RX Xu… - The Journal of Chemical …, 2022‏ - pubs.aip.org
In this Communication, we propose the time-domain Prony fitting decomposition (t-PFD) as
an accurate and efficient exponential series method, applicable to arbitrary bath correlation …

Efficient hierarchical Liouville space propagator to quantum dissipative dynamics

Q Shi, L Chen, G Nan, RX Xu, YJ Yan - The Journal of chemical …, 2009‏ - pubs.aip.org
We propose an efficient method to propagate the hierarchical quantum master equations
based on a reformulation of the original formalism and the incorporation of a filtering …

[HTML][HTML] Reduced hierarchical equations of motion in real and imaginary time: Correlated initial states and thermodynamic quantities

Y Tanimura - The Journal of chemical physics, 2014‏ - pubs.aip.org
For a system strongly coupled to a heat bath, the quantum coherence of the system and the
heat bath plays an important role in the system dynamics. This is particularly true in the case …