Describing many-body localized systems in thermal environments
In this work we formulate an efficient method for the description of fully many-body localized systems in weak contact with thermal environments at temperature T . The key idea is to exploit the representation of the system in terms of quasi-local integrals of motion ( l -bits) to efficiently derive...
| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
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IOP Publishing
2019-01-01
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| Series: | New Journal of Physics |
| Subjects: | |
| Online Access: | https://doi.org/10.1088/1367-2630/ab25a4 |
| _version_ | 1827872679546322944 |
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| author | Ling-Na Wu Alexander Schnell Giuseppe De Tomasi Markus Heyl André Eckardt |
| author_facet | Ling-Na Wu Alexander Schnell Giuseppe De Tomasi Markus Heyl André Eckardt |
| author_sort | Ling-Na Wu |
| collection | DOAJ |
| description | In this work we formulate an efficient method for the description of fully many-body localized systems in weak contact with thermal environments at temperature T . The key idea is to exploit the representation of the system in terms of quasi-local integrals of motion ( l -bits) to efficiently derive the generator for the quantum master equation in Born–Markov approximation. We, moreover, show how to compute the steady state of this equation efficiently by using quantum-jump Monte-Carlo techniques as well as by deriving approximate kinetic equations of motion. As an example, we consider a one-dimensional disordered extended Hubbard model for spinless fermions, for which we derive the l -bit representation approximately by employing a recently proposed method valid in the limit of strong disorder and weak interactions. Coupling the system to a global thermal bath, we study the transport between two leads with different chemical potentials at both of its ends. We find that the temperature-dependent current is captured by an interaction-dependent version of Mott’s law for variable range hopping, where transport is enhanced/lowered depending on whether the interactions are attractive or repulsive, respectively. We interpret these results in terms of spatio-energetic correlations between the l -bits. |
| first_indexed | 2024-03-12T16:27:16Z |
| format | Article |
| id | doaj.art-334e7508455640878aa4678f56887f03 |
| institution | Directory Open Access Journal |
| issn | 1367-2630 |
| language | English |
| last_indexed | 2024-03-12T16:27:16Z |
| publishDate | 2019-01-01 |
| publisher | IOP Publishing |
| record_format | Article |
| series | New Journal of Physics |
| spelling | doaj.art-334e7508455640878aa4678f56887f032023-08-08T15:38:19ZengIOP PublishingNew Journal of Physics1367-26302019-01-0121606302610.1088/1367-2630/ab25a4Describing many-body localized systems in thermal environmentsLing-Na Wu0https://orcid.org/0000-0003-4722-5883Alexander Schnell1Giuseppe De Tomasi2Markus Heyl3https://orcid.org/0000-0002-7126-1836André Eckardt4https://orcid.org/0000-0002-5542-3516Max-Planck-Institut für Physik komplexer Systeme, Nöthnitzer Straße 38, D-01187-Dresden, GermanyMax-Planck-Institut für Physik komplexer Systeme, Nöthnitzer Straße 38, D-01187-Dresden, GermanyMax-Planck-Institut für Physik komplexer Systeme, Nöthnitzer Straße 38, D-01187-Dresden, Germany; Present address: Department of Physics, T42, Technische Universität München , James-Franck-Straße 1, D-85748 Garching, GermanyMax-Planck-Institut für Physik komplexer Systeme, Nöthnitzer Straße 38, D-01187-Dresden, GermanyMax-Planck-Institut für Physik komplexer Systeme, Nöthnitzer Straße 38, D-01187-Dresden, GermanyIn this work we formulate an efficient method for the description of fully many-body localized systems in weak contact with thermal environments at temperature T . The key idea is to exploit the representation of the system in terms of quasi-local integrals of motion ( l -bits) to efficiently derive the generator for the quantum master equation in Born–Markov approximation. We, moreover, show how to compute the steady state of this equation efficiently by using quantum-jump Monte-Carlo techniques as well as by deriving approximate kinetic equations of motion. As an example, we consider a one-dimensional disordered extended Hubbard model for spinless fermions, for which we derive the l -bit representation approximately by employing a recently proposed method valid in the limit of strong disorder and weak interactions. Coupling the system to a global thermal bath, we study the transport between two leads with different chemical potentials at both of its ends. We find that the temperature-dependent current is captured by an interaction-dependent version of Mott’s law for variable range hopping, where transport is enhanced/lowered depending on whether the interactions are attractive or repulsive, respectively. We interpret these results in terms of spatio-energetic correlations between the l -bits.https://doi.org/10.1088/1367-2630/ab25a4many body localizationthermal environmentLindblad master equationvariable range hoppingquantum-jump Monte Carlokinetic theory |
| spellingShingle | Ling-Na Wu Alexander Schnell Giuseppe De Tomasi Markus Heyl André Eckardt Describing many-body localized systems in thermal environments New Journal of Physics many body localization thermal environment Lindblad master equation variable range hopping quantum-jump Monte Carlo kinetic theory |
| title | Describing many-body localized systems in thermal environments |
| title_full | Describing many-body localized systems in thermal environments |
| title_fullStr | Describing many-body localized systems in thermal environments |
| title_full_unstemmed | Describing many-body localized systems in thermal environments |
| title_short | Describing many-body localized systems in thermal environments |
| title_sort | describing many body localized systems in thermal environments |
| topic | many body localization thermal environment Lindblad master equation variable range hopping quantum-jump Monte Carlo kinetic theory |
| url | https://doi.org/10.1088/1367-2630/ab25a4 |
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