Interaction-driven dynamical quantum phase transitions in a strongly correlated bosonic system

We study dynamical quantum phase transitions (DQPTs) in the extended Bose-Hubbard model after a sudden quench of the nearest-neighbor interaction strength. Using the time-dependent density matrix renormalization group, we demonstrate that interaction-driven DQPTs can appear after quenches between tw...

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Main Authors: Sebastian Stumper, Michael Thoss, Junichi Okamoto
Format: Article
Language:English
Published: American Physical Society 2022-01-01
Series:Physical Review Research
Online Access:http://doi.org/10.1103/PhysRevResearch.4.013002
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author Sebastian Stumper
Michael Thoss
Junichi Okamoto
author_facet Sebastian Stumper
Michael Thoss
Junichi Okamoto
author_sort Sebastian Stumper
collection DOAJ
description We study dynamical quantum phase transitions (DQPTs) in the extended Bose-Hubbard model after a sudden quench of the nearest-neighbor interaction strength. Using the time-dependent density matrix renormalization group, we demonstrate that interaction-driven DQPTs can appear after quenches between two topologically trivial insulating phases—a phenomenon that has so far only been studied between gapped and gapless phases. These DQPTs occur when the interaction strength crosses a certain threshold value that does not coincide with the equilibrium phase boundaries, which is in contrast to quenches that involve a change of topology. In order to elucidate the nonequilibrium excitations during the time evolution, we define a new set of string and parity order parameters. We find a close connection between DQPTs and these newly defined order parameters for both types of quenches. In the interaction-driven case, the order parameter exhibits a singularity at the time of the DQPT only when the quench parameter is close to the threshold value. Finally, the timescales of DQPTs are scrutinized and different kinds of power laws are revealed for the topological and interaction-driven cases.
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spelling doaj.art-5590c8b85b5b4e24b3c0738ac38d59612024-04-12T17:16:57ZengAmerican Physical SocietyPhysical Review Research2643-15642022-01-014101300210.1103/PhysRevResearch.4.013002Interaction-driven dynamical quantum phase transitions in a strongly correlated bosonic systemSebastian StumperMichael ThossJunichi OkamotoWe study dynamical quantum phase transitions (DQPTs) in the extended Bose-Hubbard model after a sudden quench of the nearest-neighbor interaction strength. Using the time-dependent density matrix renormalization group, we demonstrate that interaction-driven DQPTs can appear after quenches between two topologically trivial insulating phases—a phenomenon that has so far only been studied between gapped and gapless phases. These DQPTs occur when the interaction strength crosses a certain threshold value that does not coincide with the equilibrium phase boundaries, which is in contrast to quenches that involve a change of topology. In order to elucidate the nonequilibrium excitations during the time evolution, we define a new set of string and parity order parameters. We find a close connection between DQPTs and these newly defined order parameters for both types of quenches. In the interaction-driven case, the order parameter exhibits a singularity at the time of the DQPT only when the quench parameter is close to the threshold value. Finally, the timescales of DQPTs are scrutinized and different kinds of power laws are revealed for the topological and interaction-driven cases.http://doi.org/10.1103/PhysRevResearch.4.013002
spellingShingle Sebastian Stumper
Michael Thoss
Junichi Okamoto
Interaction-driven dynamical quantum phase transitions in a strongly correlated bosonic system
Physical Review Research
title Interaction-driven dynamical quantum phase transitions in a strongly correlated bosonic system
title_full Interaction-driven dynamical quantum phase transitions in a strongly correlated bosonic system
title_fullStr Interaction-driven dynamical quantum phase transitions in a strongly correlated bosonic system
title_full_unstemmed Interaction-driven dynamical quantum phase transitions in a strongly correlated bosonic system
title_short Interaction-driven dynamical quantum phase transitions in a strongly correlated bosonic system
title_sort interaction driven dynamical quantum phase transitions in a strongly correlated bosonic system
url http://doi.org/10.1103/PhysRevResearch.4.013002
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AT michaelthoss interactiondrivendynamicalquantumphasetransitionsinastronglycorrelatedbosonicsystem
AT junichiokamoto interactiondrivendynamicalquantumphasetransitionsinastronglycorrelatedbosonicsystem