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Marginal quenches and drives in Tomonaga-Luttinger liquids
We study Tomonaga-Luttinger liquids thrown out of equilibrium by marginal deformations in the form of interaction modulations. This is modeled by quenching or periodically driving the Luttinger parameter or, equivalently, the compactification radius of the free boson conformal field theory between t...
Autores principales: | , , , |
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Lenguaje: | eng |
Publicado: |
2022
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Materias: | |
Acceso en línea: | https://dx.doi.org/10.21468/SciPostPhys.14.5.108 http://cds.cern.ch/record/2813483 |
_version_ | 1780973405744398336 |
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author | Datta, Shouvik Lapierre, Bastien Moosavi, Per Tiwari, Apoorv |
author_facet | Datta, Shouvik Lapierre, Bastien Moosavi, Per Tiwari, Apoorv |
author_sort | Datta, Shouvik |
collection | CERN |
description | We study Tomonaga-Luttinger liquids thrown out of equilibrium by marginal deformations in the form of interaction modulations. This is modeled by quenching or periodically driving the Luttinger parameter or, equivalently, the compactification radius of the free boson conformal field theory between two different values. We obtain exact analytical results for the evolution of the Loschmidt echo and observables such as the particle and energy densities. Starting from generic initial states, the quench dynamics are shown to exhibit revivals and temporal orthogonalities. For the periodic drive, we show stability or instability of time-evolved physical quantities dependent on the drive parameters. We also compare the corresponding marginally deformed thermal density matrices by non-perturbatively evaluating their Rényi divergence as a Euclidean quench. All the dynamics are shown to be crucially dependent on the ratio of the Luttinger parameters, which corresponds to the Zamolodchikov distance in the space of marginal deformations. Our setup is equivalently interpreted as the dynamics of the bosonic string upon instantaneous changes of the target-space radius. |
id | cern-2813483 |
institution | Organización Europea para la Investigación Nuclear |
language | eng |
publishDate | 2022 |
record_format | invenio |
spelling | cern-28134832023-09-27T08:04:54Zdoi:10.21468/SciPostPhys.14.5.108http://cds.cern.ch/record/2813483engDatta, ShouvikLapierre, BastienMoosavi, PerTiwari, ApoorvMarginal quenches and drives in Tomonaga-Luttinger liquidshep-thParticle Physics - Theorycond-mat.quant-gascond-mat.stat-mechMathematical Physics and MathematicsWe study Tomonaga-Luttinger liquids thrown out of equilibrium by marginal deformations in the form of interaction modulations. This is modeled by quenching or periodically driving the Luttinger parameter or, equivalently, the compactification radius of the free boson conformal field theory between two different values. We obtain exact analytical results for the evolution of the Loschmidt echo and observables such as the particle and energy densities. Starting from generic initial states, the quench dynamics are shown to exhibit revivals and temporal orthogonalities. For the periodic drive, we show stability or instability of time-evolved physical quantities dependent on the drive parameters. We also compare the corresponding marginally deformed thermal density matrices by non-perturbatively evaluating their Rényi divergence as a Euclidean quench. All the dynamics are shown to be crucially dependent on the ratio of the Luttinger parameters, which corresponds to the Zamolodchikov distance in the space of marginal deformations. Our setup is equivalently interpreted as the dynamics of the bosonic string upon instantaneous changes of the target-space radius.We study Tomonaga-Luttinger liquids thrown out of equilibrium by marginal deformations in the form of interaction modulations. This is modeled by quenching or periodically driving the Luttinger parameter or, equivalently, the compactification radius of the free boson conformal field theory between two different values. We obtain exact analytical results for the evolution of the Loschmidt echo and observables such as the particle and energy densities. Starting from generic initial states, the quench dynamics are shown to exhibit revivals and temporal orthogonalities. For the periodic drive, we show stability or instability of time-evolved physical quantities dependent on the drive parameters. We also compare the corresponding marginally deformed thermal density matrices by non-perturbatively evaluating their Rényi divergence as a Euclidean quench. All the dynamics are shown to be crucially dependent on the ratio of the Luttinger parameters, which corresponds to the Zamolodchikov distance in the space of marginal deformations. Our setup is equivalently interpreted as the dynamics of the bosonic string upon instantaneous changes of the target-space radius.arXiv:2206.11287CERN-TH-2022-085oai:cds.cern.ch:28134832022-06-22 |
spellingShingle | hep-th Particle Physics - Theory cond-mat.quant-gas cond-mat.stat-mech Mathematical Physics and Mathematics Datta, Shouvik Lapierre, Bastien Moosavi, Per Tiwari, Apoorv Marginal quenches and drives in Tomonaga-Luttinger liquids |
title | Marginal quenches and drives in Tomonaga-Luttinger liquids |
title_full | Marginal quenches and drives in Tomonaga-Luttinger liquids |
title_fullStr | Marginal quenches and drives in Tomonaga-Luttinger liquids |
title_full_unstemmed | Marginal quenches and drives in Tomonaga-Luttinger liquids |
title_short | Marginal quenches and drives in Tomonaga-Luttinger liquids |
title_sort | marginal quenches and drives in tomonaga-luttinger liquids |
topic | hep-th Particle Physics - Theory cond-mat.quant-gas cond-mat.stat-mech Mathematical Physics and Mathematics |
url | https://dx.doi.org/10.21468/SciPostPhys.14.5.108 http://cds.cern.ch/record/2813483 |
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