Extended Bose-Hubbard Model with Cavity-Mediated Infinite-Range Interactions at Finite Temperatures

Chen, Huang-Jie; Yu, Yan-Qiang; Zheng, Dong-Chen; Liao, Rui

doi:10.1038/s41598-020-66054-1

Cited by 11 publications

(5 citation statements)

References 48 publications

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“…We now consider lattice scenarios where the atoms are already initially trapped in a strong 2D "external", static optical lattice below the superradiant phase transition. As before, photons scattered by the atoms from a transverse pump field into the cavity result in cavity-mediated long-range interactions, competing directly with the kinetic energy and the local interactions of the strongly correlated atoms [75,84,98,99,104,105,[223][224][225][226][227][228][229][230][231][232][233][234][235][236][237]. Here, for instance, the cavity-mediated long-range interactions can be incommensurate with respect to the external static lattice spacing, leading to frustration.…”

Section: Lattice Superradiance: Generalized Extended Hubbard Modelsmentioning

confidence: 97%

Cavity QED with Quantum Gases: New Paradigms in Many-Body Physics

Mivehvar,

Piazza,

Donner

et al. 2021

Preprint

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We review the recent developments and the current status in the field of quantum-gas cavity QED. Since the first experimental demonstration of atomic self-ordering in a system composed of a Bose-Einstein condensate coupled to a quantized electromagnetic mode of a high-Q optical cavity, the field has rapidly evolved over the past decade. The composite quantum-gas-cavity systems offer the opportunity to implement, simulate, and experimentally test fundamental solid-state Hamiltonians, as well as to realize non-equilibrium many-body phenomena beyond conventional condensed-matter scenarios. This hinges on the unique possibility to design and control in open quantum environments photon-induced tunable-range interaction potentials for the atoms using tailored pump lasers and dynamic cavity fields. Notable examples range from Hubbard-like models with long-range interactions exhibiting a lattice-supersolid phase, over emergent magnetic orderings and quasicrystalline symmetries, to the appearance of dynamic gauge potentials and nonequilibrium topological phases. Experiments have managed to load spin-polarized as well as spinful quantum gases into various cavity geometries and engineer versatile tunablerange atomic interactions. This led to the experimental observation of spontaneous discrete and continuous symmetry breaking with the appearance of soft-modes as well as supersolidity, density and spin self-ordering, dynamic spin-orbit coupling, and non-equilibrium dynamical self-ordered phases among others. In addition, quantum-gas-cavity setups offer new platforms for quantum-enhanced measurements. In this review, starting from an introduction to basic models, we pedagogically summarize a broad range of theoretical developments and put them in perspective with the current and near future state-of-art experiments.

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Section: Lattice Superradiance: Generalized Extended Hubbard Modelsmentioning

confidence: 97%

Cavity QED with Quantum Gases: New Paradigms in Many-Body Physics

Mivehvar,

Piazza,

Donner

et al. 2021

Preprint

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“…It is this combination of attractive and repulsive interaction at infinite length scales that makes the model qualitatively different from a regular Bose-Hubbard model -an interplay between short and infinite range interactions emerges. The phase diagram was studied theoretically in [1544,1545] and in [1546] for finite temperature, and experimentally in [1463,1464,1545]. We already know from our discussion above that in the superfluid regime, where the tunneling dominates over the onsite interaction (set by U ), the system is either in a regular superfluid or in a state reminiscent of a supersolid.…”

Section: Critical Phenomena I -Bosonsmentioning

confidence: 99%

The Jaynes-Cummings model and its descendants

Larson,

Mavrogordatos

2022

Preprint

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The Jaynes-Cummings (JC) model has been at the forefront of quantum optics for almost six decades to date, providing one of the simplest yet intricately nonlinear formulations of light-matter interaction in modern physics. Laying most of the emphasis to the omnipresence of the model across a range of disciplines, this monograph brings up the fundamental generality of its formalism, looking at a wide gamut of applications in specific physical systems among several realms, including atomic physics, quantum optics, solid-state physics and quantum information science. When bringing the various pieces together to assemble our narrative, we have primarily targeted researchers in quantum physics and quantum optics. The monograph also comprises an accessible introduction for graduate students engaged with non-equilibrium quantum phase transitions, quantum computing and simulation, and quantum many-body physics. In that framework, we aim to reveal the common ground between physics and applications scattered across literature and different technological advancements. The exposition guides the reader through a vibrant field interlacing quantum optics and condensed-matter physics. All sections are devoted to the strong interconnection between theory and experiment, historically linked to the development of the various modern research directions stemming from JC physics. This is accompanied by a comprehensive list of references to the key publications that have shaped its evolution since the early 1960s. Finally, we have endeavoured to keep the presentation of such a multi-sided material as concise as possible, interspersing continuous text with various illustrations alongside an economical use of mathematical expressions.

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“…The excited states in the system affect the parameter region of quantum phases and a normal fluid (NF) state appears in the system at finite temperatures. Several previous studies have discussed the role of finite temperature on the homogeneous system for MI-SF transition of BHM [31][32][33][34][35][36][37] and CDW-SS transition of extended BHM [38][39][40]. Moreover, the effects of the trapping potential on the coexistence of uniform and density-modulated phases are also examined for short- [35,41,42] and long-range many-body systems [38,43,44].…”

Section: Introductionmentioning

confidence: 99%

Staggered quantum phases of dipolar bosons at finite temperatures

Suthar¹,

Ng²

2022

Preprint

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The extended Bose-Hubbard model with correlated tunneling exhibits staggered superfluid and supersolid quantum phases. We study finite-temperature phase transitions of quantum phases of dipolar bosons in a twodimensional optical lattice using mean-field Gutzwiller and quantum Monte Carlo approaches. When nearestneighbor repulsion is comparable to the on-site interaction, we find that the two topologically distinct superfluids are separated by a normal fluid phase, while at stronger off-site interactions, density-modulated insulating quantum phases appear. We estimate the critical temperature of the staggered superfluid to normal fluid transition and show that this transition is of the Kosterlitz-Thouless type. Finally, we elucidate the coexistence of staggered quantum phases in the presence of an external trapping potential. Our study paves a way to observe novel staggered quantum phases in recent dipolar optical lattice experiments.

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Extended Bose-Hubbard Model with Cavity-Mediated Infinite-Range Interactions at Finite Temperatures

Cited by 11 publications

References 48 publications

Cavity QED with Quantum Gases: New Paradigms in Many-Body Physics

Cavity QED with Quantum Gases: New Paradigms in Many-Body Physics

The Jaynes-Cummings model and its descendants

Staggered quantum phases of dipolar bosons at finite temperatures

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