scholarly journals Uncoupled Majorana fermions in open quantum systems: on the efficient simulation of non-equilibrium stationary states of quadratic Fermi models

2020 ◽  
Vol 32 (40) ◽  
pp. 405601
Author(s):  
Jose Reslen
Keyword(s):  
Open Quantum Systems ◽  
Quantum Systems ◽  
Majorana Fermions ◽  
Stationary States ◽  
Open Quantum ◽  
Efficient Simulation ◽  
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.

Open quantum systems and thermal non-equilibrium processes

2020 ◽  
Vol 34 (17) ◽  
pp. 2050194
Author(s):  
Z. Rahdar ◽  
B. Lari
Keyword(s):  
Equilibrium Condition ◽  
Open Quantum Systems ◽  
Quantum Systems ◽  
Open Quantum ◽  
Equilibrium Processes ◽  
Swap Gate ◽  
Convexity And Concavity ◽  
Output Behavior ◽  
Environment Parameters ◽  
Non Equilibrium

In this paper, we investigate the effects of convexity and concavity of states on entanglement of the system under thermal non-equilibrium condition. In this regard, we consider a system consisting of two spin 1/2 particles with Dzyaloshinskii–Moriya (DM) interaction that follows the Tsallis statistics.Also, according to the desired statistics, the effect of environment parameters and the convexity or concavity of the input states on the output behavior of the SWAP gate is obtained.

scholarly journals Efficient Simulation of Finite-Temperature Open Quantum Systems

2019 ◽  
Vol 123 (9) ◽  
Author(s):  
D. Tamascelli ◽  
A. Smirne ◽  
J. Lim ◽  
S. F. Huelga ◽  
M. B. Plenio
Keyword(s):  
Finite Temperature ◽  
Open Quantum Systems ◽  
Quantum Systems ◽  
Open Quantum ◽  
Efficient Simulation

scholarly journals Efficient simulation of open quantum systems coupled to a fermionic bath

2020 ◽  
Vol 101 (15) ◽  
Author(s):  
Alexander Nüßeler ◽  
Ish Dhand ◽  
Susana F. Huelga ◽  
Martin B. Plenio
Keyword(s):  
Open Quantum Systems ◽  
Quantum Systems ◽  
Open Quantum ◽  
Efficient Simulation

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

scholarly journals Hamiltonian assignment for open quantum systems

2020 ◽  
Vol 2 (3) ◽  
Author(s):  
Eugene F. Dumitrescu ◽  
Pavel Lougovski
Keyword(s):  
Open Quantum Systems ◽  
Quantum Systems ◽  
Open Quantum
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