FLUCTUATION THEOREM, NONEQUILIBRIUM STEADY STATES AND MACLENNAN-ZUBAREV ENSEMBLES OF A CLASS OF LARGE QUANTUM SYSTEMS

2003 ◽  
Author(s):  
SHUICHI TASAKI ◽  
TAKU MATSUI
Keyword(s):  
Quantum Systems ◽  
Steady States ◽  
Fluctuation Theorem ◽  
Nonequilibrium Steady States ◽  
Large Quantum

scholarly journals General description for nonequilibrium steady states in periodically driven dissipative quantum systems

2020 ◽  
Vol 6 (27) ◽  
pp. eabb4019 ◽  
Author(s):  
Tatsuhiko N. Ikeda ◽  
Masahiro Sato
Keyword(s):  
Quantum Physics ◽  
Broad Class ◽  
Quantum Systems ◽  
Steady States ◽  
Dissipative Systems ◽  
Nonequilibrium Steady States ◽  
General Description ◽  
Periodically Driven ◽  
Symmetry Properties ◽  
Dissipative Quantum Systems

Laser technology has developed and accelerated photo-induced nonequilibrium physics, from both the scientific and engineering viewpoints. Floquet engineering, i.e., controlling material properties and functionalities by time-periodic drives, is at the forefront of quantum physics of light-matter interaction. However, it is limited to ideal dissipationless systems. Extending Floquet engineering to various materials requires understanding of the quantum states emerging in a balance of the periodic drive and energy dissipation. Here, we derive a general description for nonequilibrium steady states (NESSs) in periodically driven dissipative systems by focusing on systems under high-frequency drive and time-independent Lindblad-type dissipation. Our formula correctly describes the time average, fluctuation, and symmetry properties of the NESS, and can be computed efficiently in numerical calculations. This approach will play fundamental roles in Floquet engineering in a broad class of dissipative quantum systems from atoms and molecules to mesoscopic systems, and condensed matter.

scholarly journals Crooks Fluctuation Theorem for Single Polymer Dynamics in Time-Dependent Flows: Understanding Viscoelastic Hysteresis

Entropy ◽  
2021 ◽  
Vol 24 (1) ◽  
pp. 27
Author(s):  
Yuecheng Zhou ◽  
Folarin Latinwo ◽  
Charles M. Schroeder
Keyword(s):  
Single Molecule ◽  
Extensional Flow ◽  
Steady States ◽  
Fluctuation Theorem ◽  
Time Dependent ◽  
Polymer Dynamics ◽  
Nonequilibrium Steady States ◽  
Fluctuation Theorems ◽  
Wide Range ◽  
Crooks Fluctuation Theorem

Nonequilibrium work relations have fundamentally advanced our understanding of molecular processes. In recent years, fluctuation theorems have been extensively applied to understand transitions between equilibrium steady-states, commonly described by simple control parameters such as molecular extension of a protein or polymer chain stretched by an external force in a quiescent fluid. Despite recent progress, far less is understood regarding the application of fluctuation theorems to processes involving nonequilibrium steady-states such as those described by polymer stretching dynamics in nonequilibrium fluid flows. In this work, we apply the Crooks fluctuation theorem to understand the nonequilibrium thermodynamics of dilute polymer solutions in flow. We directly determine the nonequilibrium free energy for single polymer molecules in flow using a combination of single molecule experiments and Brownian dynamics simulations. We further develop a time-dependent extensional flow protocol that allows for probing viscoelastic hysteresis over a wide range of flow strengths. Using this framework, we define quantities that uniquely characterize the coil-stretch transition for polymer chains in flow. Overall, generalized fluctuation theorems provide a powerful framework to understand polymer dynamics under far-from-equilibrium conditions.

scholarly journals Matrix Product State Simulations of Non-Equilibrium Steady States and Transient Heat Flows in the Two-Bath Spin-Boson Model at Finite Temperatures

Entropy ◽  
2021 ◽  
Vol 23 (1) ◽  
pp. 77
Author(s):  
Angus J. Dunnett ◽  
Alex W. Chin
Keyword(s):  
Finite Temperature ◽  
Open Quantum Systems ◽  
Quantum Systems ◽  
Steady States ◽  
Matrix Product ◽  
Open Quantum ◽  
Matrix Product State ◽  
Wide Range ◽  
Boson Model ◽  
Non Equilibrium

Simulating the non-perturbative and non-Markovian dynamics of open quantum systems is a very challenging many body problem, due to the need to evolve both the system and its environments on an equal footing. Tensor network and matrix product states (MPS) have emerged as powerful tools for open system models, but the numerical resources required to treat finite-temperature environments grow extremely rapidly and limit their applications. In this study we use time-dependent variational evolution of MPS to explore the striking theory of Tamascelli et al. (Phys. Rev. Lett. 2019, 123, 090402.) that shows how finite-temperature open dynamics can be obtained from zero temperature, i.e., pure wave function, simulations. Using this approach, we produce a benchmark dataset for the dynamics of the Ohmic spin-boson model across a wide range of coupling strengths and temperatures, and also present a detailed analysis of the numerical costs of simulating non-equilibrium steady states, such as those emerging from the non-perturbative coupling of a qubit to baths at different temperatures. Despite ever-growing resource requirements, we find that converged non-perturbative results can be obtained, and we discuss a number of recent ideas and numerical techniques that should allow wide application of MPS to complex open quantum systems.

scholarly journals Nonequilibrium steady states of ideal bosonic and fermionic quantum gases

2015 ◽  
Vol 92 (6) ◽  
Author(s):  
Daniel Vorberg ◽  
Waltraut Wustmann ◽  
Henning Schomerus ◽  
Roland Ketzmerick ◽  
André Eckardt
Keyword(s):  
Steady States ◽  
Quantum Gases ◽  
Nonequilibrium Steady States

scholarly journals Signatures of many-body localization in steady states of open quantum systems

2018 ◽  
Vol 98 (2) ◽  
Author(s):  
I. Vakulchyk ◽  
I. Yusipov ◽  
M. Ivanchenko ◽  
S. Flach ◽  
S. Denisov
Keyword(s):  
Open Quantum Systems ◽  
Quantum Systems ◽  
Steady States ◽  
Many Body ◽  
Open Quantum

Nonequilibrium Steady States and Electron Transport in Molecular Systems

2017 ◽  
pp. 127-150
Author(s):  
I. Deretzis ◽  
S. F. Lombardo ◽  
G. G. N. Angilella ◽  
R. Pucci ◽  
A. La Magna
Keyword(s):  
Electron Transport ◽  
Steady States ◽  
Nonequilibrium Steady States ◽  
Molecular Systems
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