scholarly journals Contraction and stability analysis of steady-states for open quantum systems described by Lindblad differential equations

2013 ◽  
Author(s):  
Pierre Rouchon ◽  
Alain Sarlette
Keyword(s):  
Stability Analysis ◽  
Differential Equations ◽  
Open Quantum Systems ◽  
Quantum Systems ◽  
Steady States ◽  
Open Quantum

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 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

scholarly journals Variational Neural-Network Ansatz for Steady States in Open Quantum Systems

2019 ◽  
Vol 122 (25) ◽  
Author(s):  
Filippo Vicentini ◽  
Alberto Biella ◽  
Nicolas Regnault ◽  
Cristiano Ciuti
Keyword(s):  
Neural Network ◽  
Open Quantum Systems ◽  
Quantum Systems ◽  
Steady States ◽  
Open Quantum

scholarly journals Variational Quantum Algorithms for the Steady States of Open Quantum Systems

2021 ◽  
Vol 38 (8) ◽  
pp. 080301
Author(s):  
Huan-Yu Liu ◽  
Tai-Ping Sun ◽  
Yu-Chun Wu ◽  
Guo-Ping Guo
Keyword(s):  
Quantum Algorithms ◽  
Open Quantum Systems ◽  
Quantum Systems ◽  
Steady States ◽  
Open Quantum

scholarly journals Learning the dynamics of open quantum systems from their steady states

2020 ◽  
Vol 22 (3) ◽  
pp. 032001 ◽  
Author(s):  
Eyal Bairey ◽  
Chu Guo ◽  
Dario Poletti ◽  
Netanel H Lindner ◽  
Itai Arad
Keyword(s):  
Open Quantum Systems ◽  
Quantum Systems ◽  
Steady States ◽  
Open Quantum

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

2020 ◽  
Author(s):  
Angus Dunnett ◽  
Alex W. Chin
Keyword(s):  
Open Quantum Systems ◽  
Quantum Systems ◽  
Steady States ◽  
Matrix Product ◽  
Data Set ◽  
Open Quantum ◽  
Matrix Product State ◽  
Markovian Dynamics ◽  
Wide Range ◽  
Boson Model

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 expore the striking theory of Tamescelli et al. that shows how finite temperture open dyanmics can be obtained from zero temperature, i.e. pure wave function, simulations. Using this approach, we produce a benchmark data set for the dynamics of the Ohmic spin-boson model across a wide range of coupling and temperatures, and also present 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.

Relaxation of interacting open quantum systems

2018 ◽  
Vol 189 (05) ◽  
Author(s):  
Vladislav Yu. Shishkov ◽  
Evgenii S. Andrianov ◽  
Aleksandr A. Pukhov ◽  
Aleksei P. Vinogradov ◽  
A.A. Lisyansky
Keyword(s):  
Open Quantum Systems ◽  
Quantum Systems ◽  
Open Quantum
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