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We investigate the mean-field phase diagram of the Bose-Hubbard model with infinite-range interactions in two dimensions. This model describes ultracold bosonic atoms confined by a two-dimensional optical lattice and dispersively coupled to…

Quantum Gases · Physics 2019-05-08 Lukas Himbert , Cecilia Cormick , Rebecca Kraus , Shraddha Sharma , Giovanna Morigi

Temperature has a significant effect on the properties of quantum field theories (QFTs) with a spontaneously broken symmetry, in particular on the massless Goldstone bosons that exist in the vacuum state. It has recently been shown using…

High Energy Physics - Phenomenology · Physics 2026-02-10 Peter Lowdon , Owe Philipsen

In this paper, we investigate systematically the Mott-insulator-Superfluid quantum phase transitions for ultracold scalar bosons in triangular, hexagonal, as well as Kagom\'e optical lattices. With the help of field-theoretical effective…

Statistical Mechanics · Physics 2012-06-01 Zhi Lin , Jun Zhang , Ying Jiang

In this letter, we investigate the ground state properties of an optomechanical system consisting of a coupled cavity and mechanical modes. An exact solution is given when the ratio $\eta$ between the cavity and mechanical frequencies tends…

Quantum Physics · Physics 2024-02-05 Bo Wang , Franco Nori , Ze-Liang Xiang

We consider bosonic atoms loaded into optical lattices with cavity-mediated infinite-range interactions. Competing short- and global-range interactions cultivates a rich phase diagram. With a systematic field-theoretical perspective, we…

Quantum Gases · Physics 2018-01-24 Renyuan Liao , Huang-Jie Chen , Dong-Chen Zheng , Zhi-Gao Huang

We develop a Gutzwiller theory for the non-equilibrium steady states of a strongly-interacting photon fluid driven by a non-Markovian incoherent pump. In particular, we explore the collective excitation modes across the out-of-equilibrium…

Quantum Physics · Physics 2022-11-15 Fabio Caleffi , Massimo Capone , Iacopo Carusotto

We consider a minimal model to describe the quantum phases of ultracold dipolar bosons in two-dimensional (2D) square optical lattices. The model is a variation of the extended Bose-Hubbard model and apt to study the quantum phases arising…

Quantum Gases · Physics 2019-11-27 Soumik Bandyopadhyay , Rukmani Bai , Sukla Pal , K. Suthar , Rejish Nath , D. Angom

Motivated by recent developments in the experimental study of Bose-Fermi mixtures, we investigate ground-state phase diagrams and excitation spectra for Bose-Fermi mixtures in a three-dimensional (3D) optical lattice. The Gutzwiller…

Quantum Gases · Physics 2020-02-19 Rei Hatsuda , Emiko Arahata

We use numerical Monte Carlo simulations to determine the mass spectrum of the bosonic sector of the electroweak model in an external magnetic field of the electroweak-scale strength ($10^{20}\,{\rm T}$) at zero temperature. It is known…

High Energy Physics - Lattice · Physics 2026-01-22 M. N. Chernodub , V. A. Goy , A. V. Molochkov

Bose-Einstein condensation (BEC) in cold gases can be turned on and off by an external potential, such as that presented by an optical lattice. We present a model of this phenomenon which we are able to analyze rigorously. The system is a…

Statistical Mechanics · Physics 2009-11-10 Michael Aizenman , Elliott H. Lieb , Robert Seiringer , Jan Philip Solovej , Jakob Yngvason

To analyze the ground-state phase diagram of Bose-Bose mixtures loaded into $d$-dimensional hypercubic optical lattices, we perform a strong-coupling power-series expansion in the kinetic energy term (plus a scaling analysis) for the…

Quantum Gases · Physics 2015-05-14 M. Iskin

We describe a lattice of asymmetrical qubit pairs in one or two dimensions, with couplings arranged so that the motion of single-qubit excited states mimics the behavior of charged lattice bosons hopping in a magnetic field. We show in…

Strongly Correlated Electrons · Physics 2015-06-15 Eliot Kapit

We consider the Bose-Hubbard model of atoms in an optical lattice potential when the atom-atom interactions are attractive. If the lowest energy lattice sites are degenerate (such as in the homogeneous case), then, at a critical value of…

Statistical Mechanics · Physics 2009-11-11 Michael W. Jack , Makoto Yamashita

Multi-gap superconductors exhibit interesting properties. In an $N$-gap superconductor, we have in general $U(1)^N$ phase invariance. This multiple-phase invariance is partially or totally spontaneously broken in a superconductor. The…

Superconductivity · Physics 2016-08-16 Takashi Yanagisawa

We show that a site-dependent mean-field approach captures the quantum phases of the disordered Bose-Hubbard model commonly adopted to describe ultracold bosons in random optical lattice potentials. The different phases, namely superfluid,…

Soft Condensed Matter · Physics 2008-04-21 P. Buonsante , V. Penna , A. Vezzani , P. B. Blakie

We develop a quantum mechanical formalism to treat the strong coupling between an electromagnetic mode and a vibrational excitation of an ensemble of organic molecules. By employing a Bloch-Redfield-Wangsness approach, we show that the…

Mesoscale and Nanoscale Physics · Physics 2015-05-26 Javier del Pino , Johannes Feist , Francisco J. Garcia-Vidal

We derive model-independent constraints on Higgs mass and couplings from associated signals for higher masses, accessible at LEP2. This work is motivated by the fact that, in many extensions of the standard model, the Higgs boson can have…

High Energy Physics - Phenomenology · Physics 2009-09-17 A. Lopez-Fernandez , J. C. Romão , F. de Campos , J. W. F. Valle

We consider theoretically ultracold interacting bosonic atoms confined to quasi-one-dimensional ladder structures formed by optical lattices and coupled to the field of an optical cavity. The atoms can collect a spatial phase imprint during…

Quantum Gases · Physics 2018-01-03 Catalin-Mihai Halati , Ameneh Sheikhan , Corinna Kollath

In this work, we develop a novel form of non-perturbative theory to identify a light pseudo-Goldstone mode with a small mass, as well as a new type of Goldstone mode with a tiny slope (termed the slow-Goldstone mode), which may not be…

Quantum Gases · Physics 2025-08-21 Fadi Sun , Jinwu Ye

Lattice simulations are used to compute the spectrum of energy levels for all angular momentum and parity quantum numbers in the SU(2)-Higgs model, with parameters chosen to match experimental data from the Higgs-W boson sector of the…

High Energy Physics - Lattice · Physics 2013-10-07 Mark Wurtz , Randy Lewis
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