Photon pumping in a weakly-driven quantum cavity–spin system

Psaroudaki, Christina; Refael, Gil

doi:10.1016/j.aop.2021.168553

Cited by 7 publications

(3 citation statements)

References 55 publications

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“…In fact, the concept of synthetic dimensions has recently emerged as a powerful way to emulate topological phases of matter, which are now of great interest across many areas of physics [21]. Among various approaches to engineer synthetic dimensions, the idea based on quasiperiodic drives was pursued and generalized by several theorists [22][23][24][25][26][27][28][29], as well as realized in experiments [30,31].…”

Section: Introductionmentioning

confidence: 99%

Universal nonadiabatic energy pumping in a quasiperiodically driven extended system

2021

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The paradigm of Floquet engineering of topological states of matter can be generalized into the timequasiperiodic scenario, where a lower-dimensional time-dependent system maps onto a higher-dimensional one by combining the physical dimensions with additional synthetic dimensions generated by multiple incommensurate driving frequencies. Differently from most previous works in which gapped topological phases were considered, we propose an experimentally realizable, one-dimensional chain driven by two frequencies, which maps onto a gapless Weyl semimetal in a synthetic dimension. Based on analytical reasoning and numerical simulations, we find that the nonadiabatic quantum dynamics of this system exhibit energy pumping behaviors characterized by universal functions. We also numerically find that such behaviors are robust against a considerable amount of spatial disorder.

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Section: Introductionmentioning

confidence: 99%

Universal nonadiabatic energy pumping in a quasiperiodically driven extended system

2021

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show abstract

“…In fact, the concept of synthetic dimensions has recently emerged as a powerful way to emulate topological phases of matter, which are now of great interest across many areas of physics [21]. Among various approaches to engineer synthetic dimensions, the idea based on quasiperiodic drives was pursued and generalized by several theorists [22][23][24][25][26][27][28], as well as realized in experiments [29,30].…”

Section: Introductionmentioning

confidence: 99%

Universal nonadiabatic energy pumping in a quasiperiodically driven extended system

Qi,

Refael,

Peng

2021

Preprint

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The paradigm of Floquet engineering of topological states of matter can be generalized into the time-quasiperiodic scenario, where a lower dimensional time-dependent system maps into a higher dimensional one by combining the physical dimensions with additional synthetic dimensions generated by multiple incommensurate driving frequencies. Different than most previous works in which gapped topological phases were considered, we propose an experimentally realizable, one dimensional chain driven by two frequencies, which maps into a gapless Weyl semimetal in synthetic dimension. Based on analytical reasoning and numerical simulations, we found the nonadiabatic quantum dynamics of this system exhibit energy pumping behaviors characterized by universal functions. We also numerically found such behaviors are robust against a considerable amount of spatial disorder.

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“…Topological frequency conversion.-A feature of quasiperiodically driven systems is energy pumping, a process in which photons of different frequencies are exchanged between the external drives [19,[26][27][28][29][30][31][32][33][34][35][36][37][38][39]. The total energy transfer rate is determined by the equations of motion:…”

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confidence: 99%