NON-EQUILIBRIUM STEADY-STATES IN ARTIFICIAL SUPRAMOLECULAR MATERIALS

2021 ◽  
Author(s):  
THOMAS M. HERMANS
Keyword(s):  
Steady States ◽  
Supramolecular Materials ◽  
Non Equilibrium

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.

Stochastic pumping of non-equilibrium steady-states: how molecules adapt to a fluctuating environment

2018 ◽  
Vol 54 (5) ◽  
pp. 427-444 ◽  
Author(s):  
R. D. Astumian
Keyword(s):  
Steady States ◽  
Absolute Amount ◽  
Fluctuating Environment ◽  
The Absolute ◽  
Non Equilibrium

Fluctuations favour state B = (B,B′) based on kinetic asymmetry combined with moderate dissipation rather than state A = (A,A′) in which the absolute amount of dissipation is greater but where there is no kinetic asymmetry.

On the theory of fluctuations around non-equilibrium steady states

1980 ◽  
Vol 102 (3) ◽  
pp. 399-430 ◽  
Author(s):  
Michio Tokuyama
Keyword(s):  
Steady States ◽  
Non Equilibrium

scholarly journals Analysis of the conditional mutual information in ballistic and diffusive non-equilibrium steady-states

2020 ◽  
Vol 53 (30) ◽  
pp. 305302
Author(s):  
William T B Malouf ◽  
John Goold ◽  
Gerardo Adesso ◽  
Gabriel T Landi
Keyword(s):  
Mutual Information ◽  
Steady States ◽  
Conditional Mutual Information ◽  
Non Equilibrium

The specific heat of non-equilibrium steady states

1987 ◽  
Vol 61 (5) ◽  
pp. 1151-1159 ◽  
Author(s):  
Denis J. Evans ◽  
Gary P. Morriss
Keyword(s):  
Specific Heat ◽  
Steady States ◽  
Non Equilibrium
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