Tensor-Network Method to Simulate Strongly Interacting Quantum Thermal Machines

We present a methodology to simulate the quantum thermodynamics of thermal machines which are built from an interacting working medium in contact with fermionic reservoirs at a fixed temperature and chemical potential. Our method works at a finite temperature, beyond linear response and weak system-...

Descripción completa

Guardado en:

Detalles Bibliográficos
Autores principales:	Marlon Brenes, Juan José Mendoza-Arenas, Archak Purkayastha, Mark T. Mitchison, Stephen R. Clark, John Goold
Formato:	article
Lenguaje:	EN
Publicado:	American Physical Society 2020
Materias:	Physics QC1-999
Acceso en línea:	https://doaj.org/article/edd9eacce5634c0495aa05f1d524be4c
Etiquetas:	Agregar Etiqueta Sin Etiquetas, Sea el primero en etiquetar este registro!

id	oai:doaj.org-article:edd9eacce5634c0495aa05f1d524be4c
record_format	dspace
spelling	oai:doaj.org-article:edd9eacce5634c0495aa05f1d524be4c2021-12-02T11:10:08ZTensor-Network Method to Simulate Strongly Interacting Quantum Thermal Machines10.1103/PhysRevX.10.0310402160-3308https://doaj.org/article/edd9eacce5634c0495aa05f1d524be4c2020-08-01T00:00:00Zhttp://doi.org/10.1103/PhysRevX.10.031040http://doi.org/10.1103/PhysRevX.10.031040https://doaj.org/toc/2160-3308We present a methodology to simulate the quantum thermodynamics of thermal machines which are built from an interacting working medium in contact with fermionic reservoirs at a fixed temperature and chemical potential. Our method works at a finite temperature, beyond linear response and weak system-reservoir coupling, and allows for nonquadratic interactions in the working medium. The method uses mesoscopic reservoirs, continuously damped toward thermal equilibrium, in order to represent continuum baths and a novel tensor-network algorithm to simulate the steady-state thermodynamics. Using the example of a quantum-dot heat engine, we demonstrate that our technique replicates the well-known Landauer-Büttiker theory for efficiency and power. We then go beyond the quadratic limit to demonstrate the capability of our method by simulating a three-site machine with nonquadratic interactions. Remarkably, we find that such interactions lead to power enhancement, without being detrimental to the efficiency. Furthermore, we demonstrate the capability of our method to tackle complex many-body systems by extracting the superdiffusive exponent for high-temperature transport in the isotropic Heisenberg model. Finally, we discuss transport in the gapless phase of the anisotropic Heisenberg model at a finite temperature and its connection to charge conjugation parity, going beyond the predictions of single-site boundary driving configurations.Marlon BrenesJuan José Mendoza-ArenasArchak PurkayasthaMark T. MitchisonStephen R. ClarkJohn GooldAmerican Physical SocietyarticlePhysicsQC1-999ENPhysical Review X, Vol 10, Iss 3, p 031040 (2020)
institution	DOAJ
collection	DOAJ
language	EN
topic	Physics QC1-999
spellingShingle	Physics QC1-999 Marlon Brenes Juan José Mendoza-Arenas Archak Purkayastha Mark T. Mitchison Stephen R. Clark John Goold Tensor-Network Method to Simulate Strongly Interacting Quantum Thermal Machines
description	We present a methodology to simulate the quantum thermodynamics of thermal machines which are built from an interacting working medium in contact with fermionic reservoirs at a fixed temperature and chemical potential. Our method works at a finite temperature, beyond linear response and weak system-reservoir coupling, and allows for nonquadratic interactions in the working medium. The method uses mesoscopic reservoirs, continuously damped toward thermal equilibrium, in order to represent continuum baths and a novel tensor-network algorithm to simulate the steady-state thermodynamics. Using the example of a quantum-dot heat engine, we demonstrate that our technique replicates the well-known Landauer-Büttiker theory for efficiency and power. We then go beyond the quadratic limit to demonstrate the capability of our method by simulating a three-site machine with nonquadratic interactions. Remarkably, we find that such interactions lead to power enhancement, without being detrimental to the efficiency. Furthermore, we demonstrate the capability of our method to tackle complex many-body systems by extracting the superdiffusive exponent for high-temperature transport in the isotropic Heisenberg model. Finally, we discuss transport in the gapless phase of the anisotropic Heisenberg model at a finite temperature and its connection to charge conjugation parity, going beyond the predictions of single-site boundary driving configurations.
format	article
author	Marlon Brenes Juan José Mendoza-Arenas Archak Purkayastha Mark T. Mitchison Stephen R. Clark John Goold
author_facet	Marlon Brenes Juan José Mendoza-Arenas Archak Purkayastha Mark T. Mitchison Stephen R. Clark John Goold
author_sort	Marlon Brenes
title	Tensor-Network Method to Simulate Strongly Interacting Quantum Thermal Machines
title_short	Tensor-Network Method to Simulate Strongly Interacting Quantum Thermal Machines
title_full	Tensor-Network Method to Simulate Strongly Interacting Quantum Thermal Machines
title_fullStr	Tensor-Network Method to Simulate Strongly Interacting Quantum Thermal Machines
title_full_unstemmed	Tensor-Network Method to Simulate Strongly Interacting Quantum Thermal Machines
title_sort	tensor-network method to simulate strongly interacting quantum thermal machines
publisher	American Physical Society
publishDate	2020
url	https://doaj.org/article/edd9eacce5634c0495aa05f1d524be4c
work_keys_str_mv	AT marlonbrenes tensornetworkmethodtosimulatestronglyinteractingquantumthermalmachines AT juanjosemendozaarenas tensornetworkmethodtosimulatestronglyinteractingquantumthermalmachines AT archakpurkayastha tensornetworkmethodtosimulatestronglyinteractingquantumthermalmachines AT marktmitchison tensornetworkmethodtosimulatestronglyinteractingquantumthermalmachines AT stephenrclark tensornetworkmethodtosimulatestronglyinteractingquantumthermalmachines AT johngoold tensornetworkmethodtosimulatestronglyinteractingquantumthermalmachines
_version_	1718396205162037248

Tensor-Network Method to Simulate Strongly Interacting Quantum Thermal Machines

Ejemplares similares