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We have performed large-scale Monte Carlo simulations on a model describing a (2+1)-dimensional array of dissipative Josephson junctions. We find three distinct stable quantum phases of the system. The most ordered state features long-range…

Statistical Mechanics · Physics 2012-06-27 Einar B. Stiansen. Iver B. Sperstad , Asle Sudbø

The quasi-one-dimensional S=1 Heisenberg antiferromagnet with a biquadratic term is investigated at zero temperature by quantum Monte Carlo simulation. As the magnitude of the inter-chain coupling is increased, the system undergoes a phase…

Statistical Mechanics · Physics 2015-06-25 Kenji Harada , Naoki Kawashima , Matthias Troyer

Various quantum phase transitions in the anisotropic Rabi-Stark model with both the nonlinear Stark coupling and the linear dipole coupling between a two-level system and a single-mode cavity are studied in this work. The first-order…

Quantum Physics · Physics 2020-05-05 You-Fei Xie , Xiang-You Chen , Xiao-Fei Dong , Qing-Hu Chen

Complexity in many-particle systems occurs through processes of qualitative differentiation. These are described by concepts such as emerging states with specific symmetries that are linked to order parameters. In quantum Hall phases of…

Mesoscale and Nanoscale Physics · Physics 2008-07-18 Biswajit Karmakar , Vittorio Pellegrini , Aron Pinczuk , Loren N. Pfeiffer , Ken W. West

We study a pseudogap Anderson-Holstein model of a magnetic impurity level that hybridizes with a conduction band whose density of states vanishes in power-law fashion at the Fermi energy, and couples, via its charge, to a nondispersive…

Strongly Correlated Electrons · Physics 2013-02-27 Mengxing Cheng , Kevin Ingersent

The Dicke model extended to two bosons of different frequencies or equivalent generalized Jahn-Teller lattice model are shown to exhibit a spontaneous quantum phase transition between the polaron-modified "quasi-normal" and squeezed…

Quantum Gases · Physics 2009-12-18 E. Majernikova , S. Shpyrko

We study the numerical solutions of the Dicke Hamiltonian, which describes a system of many two level atoms interacting with a monochromatic radiation field into a cavity. The Dicke model is an example of a quantum collective behavior which…

Quantum Physics · Physics 2011-08-04 Miguel A. Bastarrachea-Magnani , Jorge G. Hirsch

We consider a class of Jacobi matrices with unbounded coefficients. This class is known to exhibit a first-order phase transition in the sense that, as a parameter is varied, one has purely discrete spectrum below the transition point and…

Spectral Theory · Mathematics 2014-12-30 David Damanik , Serguei Naboko

We analyze the effect of the barrier motion on the Bose-Hubbard Hamiltonian of a ring-shaped Bose-Einstein condensate interrupted by a pair of Josephson junctions, a configuration which is the cold atom analog of the well-known dc…

Quantum Gases · Physics 2020-11-18 H. M. Cataldo

In this contribution we perform a density matrix renormalization group study of chains of planar rotors interacting via dipolar interactions. By exploring the ground state from weakly to strongly interacting rotors, we find the occurrence…

Chemical Physics · Physics 2024-04-26 Tobias Serwatka , Pierre-Nicholas Roy

The possibility of the superradiant phase transition in polarizable materials described by the minimal-coupling Hamiltonian with the longitudinal dipole-dipole interaction is examined. We try to reduce the Hamiltonian into the Dicke one in…

Quantum Physics · Physics 2014-12-18 Motoaki Bamba , Tetsuo Ogawa

Theoretically, Josephson junction (JJ) arrays can exhibit either a superconducting or insulating state, separated by a quantum phase transition (QPT). In this work, we analyzed published data on QPTs in three one-dimensional arrays and two…

Superconductivity · Physics 2024-11-12 Samuel Feldman , Andrey Rogachev

We consider a Hamiltonian system made of $N$ classical particles moving in two dimensions, coupled via an {\it infinite-range interaction} gauged by a parameter $A$. This system shows a low energy phase with most of the particles trapped in…

Statistical Mechanics · Physics 2009-11-07 Mickael Antoni , Stefano Ruffo , Alessandro Torcini

Superconducting circuits for quantum information processing are often described theoretically in terms of a discrete charge, or equivalently, a compact phase/flux, at each node in the circuit. Here we revisit the consequences of lifting…

Quantum Physics · Physics 2020-03-09 Dat Thanh Le , Jared H. Cole , T. M. Stace

We show that tailoring the dissipative environment allows to change the features of continuous quantum phase transitions and, even, induce first order transitions in ferromagnetic spin chains. In particular, using a numerically exact…

Quantum Physics · Physics 2023-03-29 C. A. Perroni , A. De Candia , V. Cataudella , R. Fazio , G. De Filippis

With the help of the numerical renormalization group method, we theoretically investigate the Josephson phase transition in a parallel junction with one quantum dot embedded in each arm. It is found that in the cases of uniform dot levels…

Mesoscale and Nanoscale Physics · Physics 2018-08-08 Guang-Yu Yi , Xiao-Qi Wang , Cui Jiang , Wei-Jiang Gong

We propose to combine Bose-Einstein condensation in higher Bloch bands and a driven-dissipative cavity-BEC system into a hybrid light-matter platform. Specifically, the condensate is trapped in a bipartite $s$-$p_x$-$p_y$-lattice, with a…

Quantum Gases · Physics 2026-03-04 Hannah Kleine-Pollmann , Ludwig Mathey

We realize a spin-1 Dicke model using magnetic sub-levels of the lowest F=1 hyperfine level of $^{87}$Rb atoms confined to a high finesse cavity. We study this system under conditions of imbalanced driving, which is predicted to have a rich…

We study the interplay between topological and conventional long range order of attractive fermions in a time reversal symmetric Hofstadter lattice using quantum Monte Carlo simulations, focussing on the case of one-third flux quantum per…

Strongly Correlated Electrons · Physics 2014-11-11 Lei Wang , Hsiang-Hsuan Hung , Matthias Troyer

In order to examine whether or not the quantum phase transition of Dicke type exists in realistic systems, we revisit the model setup of the superconducting circuit QED from a microscopic many-body perspective based on the BCS theory with…

Quantum Physics · Physics 2012-04-16 D. Z. Xu , Y. B. Gao , C. P. Sun
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