2020
DOI: 10.1103/physrevresearch.2.033463
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Interplay of quantum phase transition and flat band in hybrid lattices

Abstract: We establish a connection between quantum phase transitions (QPTs) and energy band theory in an extended Dicke-Hubbard lattice, where the periodical critical curves modulated by wave number k leads to rich equilibrium dynamics. Interestingly, the chiral-symmetry-protected flat band and the localization that it engenders exclusively occurs in the normal phase and disappears in the superradiant phase. This originates from the QPT induced simultaneous breaking up of the on-site resonance condition and off-site ch… Show more

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Cited by 13 publications
(9 citation statements)
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“…In the previous section, we studied the KPO as a ubiquitous model describing a broad class of systems, where one directly drives a bosonic resonator (be it vibrational, electric, photonic, or composed of more complex particles) with a two-particle drive. In this section, we consider instead a many-body light-matter system, where PTs appear due to the coupling between the matter degrees of freedom and a bosonic resonator cavity [23,[57][58][59][60][61][62][63][64][65]. We specifically study a ubiquitous model describing light-matter systems, dubbed the interpolating Dicke-Tavis-Cummings (IDTC) model [22,30,66,67], which is a generalized version of the Dicke [57,68,69] and the Tavis-Cummings [70] models.…”
Section: B Interpolating Dicke-tavis-cummingsmentioning
confidence: 99%
“…In the previous section, we studied the KPO as a ubiquitous model describing a broad class of systems, where one directly drives a bosonic resonator (be it vibrational, electric, photonic, or composed of more complex particles) with a two-particle drive. In this section, we consider instead a many-body light-matter system, where PTs appear due to the coupling between the matter degrees of freedom and a bosonic resonator cavity [23,[57][58][59][60][61][62][63][64][65]. We specifically study a ubiquitous model describing light-matter systems, dubbed the interpolating Dicke-Tavis-Cummings (IDTC) model [22,30,66,67], which is a generalized version of the Dicke [57,68,69] and the Tavis-Cummings [70] models.…”
Section: B Interpolating Dicke-tavis-cummingsmentioning
confidence: 99%
“…[54][55][56][57] Therefore, it is a mature prototype for us to establish an MRmediated quantum interface between the optical photon and MW photon, and utilizing which, people can carry out the important quantum target, i.e. reciprocal or non-reciprocal quantum state transfer, QPM, quantum manipulation, et al [58][59][60][61][62][63][64][65] The basic idea of this work is originated from a very simple mathematical result, namely (Δx) 1/n ? Δx as long as 0 < Δx = 1 and n > 1.…”
Section: Introductionmentioning
confidence: 99%
“…Moreover, during the last years, several contributions in optics have demonstrated different FB properties considering diverse lattice configurations 31 39 and, thus, FB systems have emerged as a well-established and relevant research area where to continue asking/solving questions about the improvement or modification of fundamental properties in very different physical contexts; namely, electronic systems, magnetic lattices, metamaterials, mechanical lattices, quantum configurations, photonics, etc. 40 49 .…”
Section: Introductionmentioning
confidence: 99%