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

A decomposition of the non-equilibrium stationary state of a quadratic Fermi system influenced by linear baths is obtained and used to establish a simulation protocol in terms of tensor states. The scheme is then applied to examine the occurrence of uncoupled Majorana fermions in Kitaev chains subje...

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Autores:
Reslen, Jose
Tipo de recurso:
Fecha de publicación:
2020
Institución:
Universidad del Atlántico
Repositorio:
Repositorio Uniatlantico
Idioma:
eng
OAI Identifier:
oai:repositorio.uniatlantico.edu.co:20.500.12834/912
Acceso en línea:
https://hdl.handle.net/20.500.12834/912
Palabra clave:
Majorana chain; Long-range correlations; Open quantum systems.
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openAccess
License
http://purl.org/coar/access_right/c_abf2
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dc.title.spa.fl_str_mv Uncoupled Majorana fermions in open quantum systems: On the efficient simulation of non-equilibrium stationary states of quadratic Fermi models
title Uncoupled Majorana fermions in open quantum systems: On the efficient simulation of non-equilibrium stationary states of quadratic Fermi models
spellingShingle Uncoupled Majorana fermions in open quantum systems: On the efficient simulation of non-equilibrium stationary states of quadratic Fermi models
Majorana chain; Long-range correlations; Open quantum systems.
title_short Uncoupled Majorana fermions in open quantum systems: On the efficient simulation of non-equilibrium stationary states of quadratic Fermi models
title_full Uncoupled Majorana fermions in open quantum systems: On the efficient simulation of non-equilibrium stationary states of quadratic Fermi models
title_fullStr Uncoupled Majorana fermions in open quantum systems: On the efficient simulation of non-equilibrium stationary states of quadratic Fermi models
title_full_unstemmed Uncoupled Majorana fermions in open quantum systems: On the efficient simulation of non-equilibrium stationary states of quadratic Fermi models
title_sort Uncoupled Majorana fermions in open quantum systems: On the efficient simulation of non-equilibrium stationary states of quadratic Fermi models
dc.creator.fl_str_mv Reslen, Jose
dc.contributor.author.none.fl_str_mv Reslen, Jose
dc.subject.keywords.spa.fl_str_mv Majorana chain; Long-range correlations; Open quantum systems.
topic Majorana chain; Long-range correlations; Open quantum systems.
description A decomposition of the non-equilibrium stationary state of a quadratic Fermi system influenced by linear baths is obtained and used to establish a simulation protocol in terms of tensor states. The scheme is then applied to examine the occurrence of uncoupled Majorana fermions in Kitaev chains subject to baths on the ends. The resulting phase diagram is compared against the topological characterization of the equilibrium chain and the protocol efficiency is studied with respect to this model.
publishDate 2020
dc.date.submitted.none.fl_str_mv 2020-02-25
dc.date.issued.none.fl_str_mv 2021-01-14
dc.date.accessioned.none.fl_str_mv 2022-11-15T20:55:13Z
dc.date.available.none.fl_str_mv 2022-11-15T20:55:13Z
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dc.type.driver.spa.fl_str_mv info:eu-repo/semantics/article
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dc.type.spa.spa.fl_str_mv Artículo
status_str publishedVersion
dc.identifier.uri.none.fl_str_mv https://hdl.handle.net/20.500.12834/912
dc.identifier.doi.none.fl_str_mv 10.1088/1361-648X/ab926d
dc.identifier.instname.spa.fl_str_mv Universidad del Atlántico
dc.identifier.reponame.spa.fl_str_mv Repositorio Universidad del Atlántico
url https://hdl.handle.net/20.500.12834/912
identifier_str_mv 10.1088/1361-648X/ab926d
Universidad del Atlántico
Repositorio Universidad del Atlántico
dc.language.iso.spa.fl_str_mv eng
language eng
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dc.format.mimetype.spa.fl_str_mv application/pdf
dc.publisher.place.spa.fl_str_mv Barranquilla
dc.publisher.discipline.spa.fl_str_mv Física
dc.publisher.sede.spa.fl_str_mv Sede Norte
institution Universidad del Atlántico
bitstream.url.fl_str_mv https://repositorio.uniatlantico.edu.co/bitstream/20.500.12834/912/2/license.txt
https://repositorio.uniatlantico.edu.co/bitstream/20.500.12834/912/1/2002.11160.pdf
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spelling Reslen, Jose525525bb-66ab-476e-b0be-b538a8b5348d2022-11-15T20:55:13Z2022-11-15T20:55:13Z2021-01-142020-02-25https://hdl.handle.net/20.500.12834/91210.1088/1361-648X/ab926dUniversidad del AtlánticoRepositorio Universidad del AtlánticoA decomposition of the non-equilibrium stationary state of a quadratic Fermi system influenced by linear baths is obtained and used to establish a simulation protocol in terms of tensor states. The scheme is then applied to examine the occurrence of uncoupled Majorana fermions in Kitaev chains subject to baths on the ends. The resulting phase diagram is compared against the topological characterization of the equilibrium chain and the protocol efficiency is studied with respect to this model.application/pdfengUncoupled Majorana fermions in open quantum systems: On the efficient simulation of non-equilibrium stationary states of quadratic Fermi modelsPúblico generalMajorana chain; Long-range correlations; Open quantum systems.info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionArtículohttp://purl.org/coar/version/c_970fb48d4fbd8a85http://purl.org/coar/resource_type/c_2df8fbb1BarranquillaFísicaSede Norteinfo:eu-repo/semantics/openAccesshttp://purl.org/coar/access_right/c_abf2[1] A. Kitaev Unpaired majorana fermions in quantum wires Physics-Uspekhi 44 131, (2001)[2] R. Aguado Majorana quasiparticles in condensed matter La Rivista del Nuovo Cimento 11 523 (2017).[3] R. Lutchyn, E. Bakkers, L. Kouwenhoven, P. Krogstrup, C. Marcus and Y. Oreg Majorana zero modes in superconductor-semiconductor heterostructures Nature Reviews Materials 3 52 (2018)[4] A. Carmele, M. Heyk, C. Kraus and M. Dalmonte Streched exponential decay of Majorana edge modes in many-body localized Kitaev chains under dissipation Physical Review B 92 195107 (2015)[5] T. Prosen and B. Zunkovi Exact solution of Markovian master equations for quadratic Fermi systems: thermal baths, open XY spin chains and non-equilibrium phase transition New Journal of Physics 12 025016 (2010).6] T. Prosen and I. Pizorn Quantum Phase Transition in a Far-from-Equilibrium Steady State of an XY Spin Chain Physical Review Letters 101 105701 (2008)[7] T. Prosen and M. Znidaric Long-range order in nonequilibrium interacting quantum spin chains Physical Review Letters 105 060603 (2010).[8] T. Prosen Exact Nonequilibrium Steady State of a Strongly Driven Open XXZ Chain Physical Review Letters 107 137201 (2011).[9] P. Kos and T. Prosen Time-dependent correlation functions in open quadratic fermionic systems Journal of Statistical Mechanics: Theory and Experiment 123103 (2017)[10] J. Reslen End-to-end correlations in the Kitaev chain Journal of Physics Communications 2 105006 (2018).[11] G. Lindblad On the generators of quantum dynamical semigroups Communications in Mathematical Physics 48 119, (1976).[12] S. Bravyi and R. Konig Classical simulation of dissipative fermionic linear optics Quantum Information and Computation 12 0924 (2012).[13] T. Prosen Third quantization: a general method to solve master equations for quadratic open Fermi systems New Journal of Physics 10 043026 (2008)[14] M. Schmutz Real-time Green’s functions in many body problems Zeitschrift fur Physik B 30 97 (1978).[15] F. Schwabl Advanced quantum mechanics, 4th edition (Springer, Berlin, 2008).[16] T. Prosen Matrix product solutions of boundary driven quantum chains Journal of Physics A: Mathematical and Theoretical 48 373001 (2015).[17] R. Orus A practical introduction to tensor networks: Matrix product states and projected entangled pair states Annals of Physics 349 117 (2014)[18] A. Dzhioev and D. Kosov Super-fermion representation of quantum kinetic equations for the electron transport problem The Journal of Chemical Physics 134 044121 (2011).[19] R. Doornenbal, G. Skantzaris and H. Stoof Conductance of a finite Kitaev chain Physical Review B 91 045419 (2015)http://purl.org/coar/resource_type/c_6501LICENSElicense.txtlicense.txttext/plain; charset=utf-81306https://repositorio.uniatlantico.edu.co/bitstream/20.500.12834/912/2/license.txt67e239713705720ef0b79c50b2ececcaMD52ORIGINAL2002.11160.pdf2002.11160.pdfapplication/pdf269511https://repositorio.uniatlantico.edu.co/bitstream/20.500.12834/912/1/2002.11160.pdfe9686d5d830fb2d7a4c2d4344f0f6af0MD5120.500.12834/912oai:repositorio.uniatlantico.edu.co:20.500.12834/9122022-11-15 15:55:14.681DSpace de la Universidad de Atlánticosysadmin@mail.uniatlantico.edu.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