Many-body localization from dynamical gauge fields

Yao, Zhiyuan; Liu, Chang; Zhang, Pengfei; Zhai, Hui

doi:10.1103/physrevb.102.104302

Cited by 5 publications

(3 citation statements)

References 69 publications

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“…Those schemes either exploit the quantum nature of external control light, or make the gauge field dependent on the atomic density. It is an important and interesting topic to explore the new physics brought by those dynamical gauge fields [24][25][26][27][28][29][30].…”

Section: Introductionmentioning

confidence: 99%

Chaotic dynamics of Bose–Einstein condensate induced by density-dependent gauge field

Chen

Zhu

2022

New J. Phys.

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In this work we study the effect of density-dependent gauge field on the collective dynamics of a harmonically trapped Bose-Einstein condensate, beyond the linear response regime. The density dependent gauge field, as a backaction of the condensate, can in turn affect the condensate dynamics, resulting in highly nonlinear equations of motion. The dipole and breathing oscillations of the condensate along the direction of gauge field are coupled by this field. We find that, in the presence of this coupling, the collective motion of a quasi-one-dimensional condensate is still regular, i.e., periodic or quasiperiodic. In contrast, for a quasi-two-dimensional condensate, the collective dynamics of the condensate can become chaotic, when the density-dependent gauge field is strong. The mechanism is that the gauge field can also induce a Hall effect, manifested as an additional coupling between dipole and breathing oscillations in perpendicular direction, and chaotic motion is resulted from the interplay between these oscillations. Our findings reveal an important effect of dynamical gauge field on the nonlinear dynamics of a Bose-Einstein condensate.

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Section: Introductionmentioning

confidence: 99%

Chaotic dynamics of Bose–Einstein condensate induced by density-dependent gauge field

Chen

Zhu

2022

New J. Phys.

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show abstract

Section: Introductionmentioning

confidence: 99%

Chaotic dynamics of Bose-Einstein condensate in a density-dependent gauge field

Chen,

Zhu

2021

Preprint

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In this work we study the effect of density-dependent gauge field on the collective dynamics of a harmonically trapped Bose-Einstein condensate, beyond the linear response regime. The densitydependent gauge field, as a backaction of the condensate, can in turn affect the condensate dynamics, resulting in highly nonlinear equations of motion. We find that the dipole and breathing oscillations of the condensate along the direction of gauge field are coupled by this field. For a quasi-onedimensional condensate, this coupling makes the collective motion quasiperiodic. While for a quasitwo-dimensional condensate, the gauge field can also induce a Hall effect, manifested as an additional coupling between dipole and breathing oscillations in perpendicular direction. When the densitydependent gauge field is strong, the interplay between these oscillations can cause the collective dynamics of the condensate to become chaotic. Our findings reveal an important effect of dynamical gauge field on the nonlinear dynamics of a Bose-Einstein condensate.

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“…Prominent examples include the lattice gauge descriptions of quantum magnets 4 , high-Tc superconductors 5 and quantum simulation [6][7][8][9][10][11][12][13][14][15][16][17] . The local gauge symmetry inherent in these theories gives rise to a multitude of conserved quantities, making them a valuable platform for investigating the localization phenomena in the absence of disorder [18][19][20][21][22][23][24] . The lattice gauge theory framework holds great promise for the development of specialized digital and analogue quantum simulators, with the ultimate goal of realizing universal quantum computers.…”

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confidence: 99%

Dynamical localization transition in the non-Hermitian lattice gauge theory

Cheng,

Yin,

Yao

2024

Commun Phys

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Local constraint in the lattice gauge theory provides an exotic mechanism that facilitates the disorder-free localization. However, the understanding of nonequilibrium dynamics in the non-Hermitian lattice gauge model remains limited. Here, we investigate the quench dynamics in a system of spinless fermions with nonreciprocal hopping in the $${{\mathbb{Z}}}_{2}$$ Z 2 gauge field. By employing a duality mapping, we systematically explore the non-Hermitian skin effect, localization-delocalization transition, and real-complex transition. Through the identification of diverse scaling behaviors of quantum mutual information for fermions and spins, we propose that the non-Hermitian quantum disentangled liquids exist both in the localized and delocalized phases, the former originates from the $${{\mathbb{Z}}}_{2}$$ Z 2 gauge field and the latter arises from the non-Hermitian skin effect. Furthermore, we demonstrate that the nonreciprocal dissipation causes the flow of quantum information. Our results provide valuable insights into the nonequilibrium dynamics in the gauge field, and may be experimentally validated using quantum simulators.

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Many-body localization from dynamical gauge fields

Cited by 5 publications

References 69 publications

Chaotic dynamics of Bose–Einstein condensate induced by density-dependent gauge field

Chaotic dynamics of Bose–Einstein condensate induced by density-dependent gauge field

Chaotic dynamics of Bose-Einstein condensate in a density-dependent gauge field

Dynamical localization transition in the non-Hermitian lattice gauge theory

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