Synthetic topology and Floquet dynamic quantum phase transition in a periodically driven Raman lattice

Cai, Dehuan; Wu, Yi

doi:10.1103/physreva.105.042812

Cited by 8 publications

(4 citation statements)

References 70 publications

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“…[46][47][48][49][50] As an extended research area of DQPTs, richer non-equilibrium phases and intrinsic features have been revealed in timeperiodic driven quantum systems and experimentally verified for Floquet DQPTs, and the related problems have become one of the most attractive areas of developing nonequilibrium research topics. Research of Floquet DQPTs has been extended to various quantum systems, such as the spin chain model, [47,49] synchronized periodic driving systems, [51] dissipative systems, [52] periodically driven topological systems, [53,54] and periodic quenching topological systems. [50] Many non-equilibrium phases have been revealed in time-periodic driven quantum systems and experimentally verified.…”

Section: Introductionmentioning

confidence: 99%

“…[50] Many non-equilibrium phases have been revealed in time-periodic driven quantum systems and experimentally verified. [18,[44][45][46]54] In order to deeply understand the essential nature of Floquet DQPTs, some exactly solvable periodically timedependent models have also been proposed, and it has been shown that, when a periodical driven system is initialized in a periodic quenched Floquet topological phase, the Floquet system can also show topologically nontrivial signatures. [50] As we know, δ -function periodic kicking is another special periodic driving and may provide an interesting analytical solvable model, which may also change the system and induce new phenomena, for instance, periodic behavior may result in a new phase diagram in a topological system, changes the critical point of the quantum phase transition, etc.…”

Section: Introductionmentioning

confidence: 99%

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Floquet dynamical quantum phase transitions in transverse XY spin chains under periodic kickings

2023

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Floquet dynamical quantum phase transitions(DQPTs), which are nonanalytic phenomena recur periodically in time-periodic driven quantum many body systems, have been widely studied in recent years. In this article, the Floquet DQPTs in transverse XY spin-chains under the modulation of δ-function periodic kickings have been investigated. We analytically solved the system, and by considering the eigenstate as well as the ground state as the initial state of the Floquet dynamics, we studied the corresponding multiple Floquet DQPTs emerged in the micromotion with different kicking moments, respectively. The rate function of return amplitude, the Pancharatnam geometric phase and the dynamical topological order parameter have been calculated, which consistently verified the emergence of Floquet DQPTs in the system.

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Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Floquet dynamical quantum phase transitions in transverse XY spin chains under periodic kickings

2023

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“…A number of topological models have been realized in experiments, such as the 1D Su-Schriffer-Heeger model [51,52], 1D AIII class topological insulator [53,54], 1D bosonic symmetry-protected phase [55,56], 2D Haldane model [57], the spin-orbit coupled QAH model [58][59][60], and the 3D Weyl semimetal band [61,62]. Accordingly, the various detection schemes for the exotic topological physics are also developed, ranging from the measurements of equilibrium topological physics [63][64][65][66] to non-equilibrium quantum dynamics [67][68][69][70][71][72][73][74][75]. In particular, the dynamical characterization [76][77][78][79][80][81] shows the correspondence between broad classes of equilibrium topological phases and the emergent dynamical topology in far-from-equilibrium quantum dynamics induced by quenching such topological systems, which brings about the systematic and high-precision schemes to detect the topological phases based on quantum dynamics and has advanced broad studies in experiment [82][83][84][85][86][87][88][89][90][91].…”

Section: Introductionmentioning

confidence: 99%

Dynamical detection of mean-field topological phases in an interacting Chern insulator

Wang¹,

Zhang²,

Zhang³

et al. 2022

Preprint

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Interactions generically have important effects on the topological quantum phases. For a quantum anomalous Hall (QAH) insulator, the presence of interactions can qualitatively change the topological phase diagram which, however, is typically hard to measure in the experiment. Here we propose a novel scheme based on quench dynamics to detect the mean-field topological phase diagram of an interacting Chern insulator, with nontrivial dynamical quantum physics being uncovered. We focus on a two-dimensional QAH system in the presence of a weak to intermediate Hubbard interaction which mainly induces a ferromagnetic order under the mean-field level. After quenching the Zeeman coupling, both the mean-field Hamiltonian and many-body quantum state evolve over time. This is in sharp contrast to quenching a non-interacting system, in which only the many-body state evolves. We find two characteristic times ts and tc which capture the emergence of dynamical self-consistent particle number density and dynamical topological phase transition for the time-dependent Hamiltonian, respectively. An interesting result is that ts > tc (ts < tc) occurs in repulsive (attractive) interaction when the system is quenched from an initial fully polarized state to the topologically nontrivial regimes, and ts = tc characterizes the topological phase boundaries. Moreover, the topological number of mean-field topological phase is determined by the spin polarizations of four Dirac points at the time ts. With these results we provide a feasible scheme to detect the mean-field topological phase diagram via the two characteristic times in quench dynamics, which can reveal the novel interacting effects on the topological phases and shall promote the experimental observation.

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“…Non-Abelian densitydependent dynamical gauge fields are fundamentally different and could bring the research to a conceptually new horizon, with much richer and more exotic correlated quantum states to be explored. Nevertheless, while static non-Abelian gauge fields have been widely studied with optical Raman lattices [6,20,[25][26][27][28][29][30][31][32][57][58][59][60][61][62][63][64][65][66][67][68][69], extending this to the densitydependent dynamical regime is not only challenging experimentally, but also unexplored theoretically.…”

mentioning

confidence: 99%

Non-Abelian dynamical gauge field and topological superfluids in optical Raman lattice

Liu,

Zhou,

Yang

et al. 2024

Preprint

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We propose a novel scheme to realize non-Abelian dynamical gauge field for ultracold fermions, and uncover a new pairing mechanism for topological superfluidity. The dynamical gauge fields arise from a nontrivial compensation effect between the large Zeeman detuning and strong Hubbard interaction in a two-dimensional (2D) optical Raman lattice. The spin-flip transitions are forbidden by the large Zeeman detuning, but restored when the Zeeman splitting is compensated by Hubbard interaction, generating a dynamical non-Abelian gauge field that leads to a correlated 2D spin-orbit interaction depending on local state configurations. The topological superfluid from a novel pairing driven by 2D dynamical gauge fields is reached with high feasibility, showing a broad phase region without competing orders at relevant fillings, and can be easily prepared in experiment. Our work can open up an avenue to emulate non-Abelian dynamical gauge fields and exotic correlated topological phases with feasibility and particularly, paves the way for realizing the non-Abelian topological superfluids.

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Synthetic topology and Floquet dynamic quantum phase transition in a periodically driven Raman lattice

Cited by 8 publications

References 70 publications

Floquet dynamical quantum phase transitions in transverse XY spin chains under periodic kickings

Floquet dynamical quantum phase transitions in transverse XY spin chains under periodic kickings

Dynamical detection of mean-field topological phases in an interacting Chern insulator

Non-Abelian dynamical gauge field and topological superfluids in optical Raman lattice

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