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We develop an inhomogeneous mean-field theory for the extended Bose-Hubbard model with a quadratic, confining potential. In the absence of this potential, our mean-field theory yields the phase diagram of the homogeneous extended…

Quantum Gases · Physics 2012-02-01 Jamshid Moradi Kurdestany , Ramesh V. Pai , Rahul Pandit

We consider a homogeneously pumped photon gas coupled to a dye medium and investigate how its steady state is effected when varying the pump power, the photon cavity lifetime and the cutoff frequency. We study how the interplay between…

Quantum Physics · Physics 2021-12-21 Martina Vlaho , André Eckardt

Mode-mode coupling theory is presented for the resonant pumping via dynamical tunneling processes in a deformed microcavity. From the steady-state solution of the coupled differential equations of chaotic modes and a high-Q regular mode,…

Quantum Physics · Physics 2010-05-27 Kyungwon An , Juhee Yang

We study spontaneous quantum coherence in an out of equilibrium system, coupled to multiple baths describing pumping and decay. For a range of parameters describing coupling to, and occupation of the baths, a stable steady-state condensed…

Superconductivity · Physics 2007-05-23 M. H. Szymanska , J. Keeling , P. B. Littlewood

We provide a review of recently-develop dynamical mean-field theory (DMFT) approaches to the general problem of strongly correlated electronic systems with disorder. We first describe the standard DMFT approach, which is exact in the limit…

Strongly Correlated Electrons · Physics 2023-02-16 E. Miranda , V. Dobrosavljevic

Developing theoretical models for nonequilibrium quantum systems poses significant challenges. Here we develop and study a multimode model of a driven-dissipative Josephson junction chain of atomic Bose-Einstein condensates, as realised in…

Quantum Gases · Physics 2023-08-23 Matthew T. Reeves , Matthew J. Davis

A nondegenerate two-photon Jaynes-Cummings model is investigated where the leakage of photon through the cavity is taken into account. The effect of cavity damping on the mean photon number, atomic populations, field statistics and both…

Quantum Physics · Physics 2015-06-26 E. K. Bashkirov , M. S. Rusakova

In the present work we investigate the existence of multiple nonequilibrium steady states in a coherently driven XY lattice of dissipative two-level systems. A commonly used mean-field ansatz, in which spatial correlations are neglected,…

Quantum Physics · Physics 2016-06-20 J. J. Mendoza-Arenas , S. R. Clark , S. Felicetti , G. Romero , E. Solano , D. G. Angelakis , D. Jaksch

The paper discusses the single-mode Jaynes-Cummings model with time dependent parameters. Solvable models for two-level systems are utilized to consider the changes in the photon distribution affected by the passage of atoms through the…

Quantum Physics · Physics 2015-06-26 J. Larson , S. Stenholm

We study the nonlinear response of a driven cavity QED system in the extreme strong coupling regime where the saturation photon number is below one by many orders of magnitude. In this regime, multi-photon resonances within the…

Mesoscale and Nanoscale Physics · Physics 2016-04-13 András Dombi , András Vukics , Peter Domokos

We study the interplay between hysteresis and equilibrium behavior in capillary condensation of fluids in mesoporous disordered materials via a mean-field density functional theory of a disordered lattice-gas model. The approach reproduces…

Disordered Systems and Neural Networks · Physics 2009-11-07 E. Kierlik , P. A. Monson , M. L. Rosinberg , L. Sarkisov , G. Tarjus

A model for direct two band excitons in a disordered quantum well coupled to light in a cavity is investigated. In the limit in which the exciton density is high, we assess the impact of weak `pair-breaking' disorder on the feasibility of…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 F. M. Marchetti , B. D. Simons , P. B. Littlewood

The optical properties have been studied using the dynamical mean-field theory (DMFT) on a disordered Hubbard model. Despite the fact that disorder turns a metal to an insulator in high dimensional correlated materials, we notice that it…

Strongly Correlated Electrons · Physics 2018-04-24 Himadri Barman , Mukul S. Laad , Syed R. Hassan

We find a rich variety of counterintuitive features in the steady states of a qubit array coupled to a dissipative source and sink at two arbitrary sites, using a master equation approach. We show there are setups where increasing the pump…

Quantum Gases · Physics 2022-02-02 Shovan Dutta , Nigel R. Cooper

We numerically study excitation transfer in an artificial LH1-RC complex -- an $N$-site donor ring coupled to a central acceptor -- driven by a narrowband optical mode and evolved under a Lindblad master equation with loss and dephasing. In…

Optics · Physics 2025-09-27 Stephon Alexander , Roger Andrews , Oliver Fox , Sarben Sarkar

We present a multi-site formulation of mean-field theory applied to the disordered Bose-Hubbard model. In this approach the lattice is partitioned into clusters, each isolated cluster being treated exactly, with inter-cluster hopping being…

Disordered Systems and Neural Networks · Physics 2015-05-27 P. Pisarski , R. M. Jones , R. J. Gooding

We characterize the current-carrying nonequilibrium steady-state in a single-band Hubbard model confronted with a static electric field in the presence of quenched disorder. As disorder is not expected to dissipate the extra energy injected…

Strongly Correlated Electrons · Physics 2023-10-19 Tommaso Maria Mazzocchi , Daniel Werner , Enrico Arrigoni

Within the capacity of current experiments, we design a composite atom-cavity system with a common bath, in which the decay channels of the atom and the cavity mode interfere with each other. When the direct atom-cavity coupling is absent,…

Quantum Physics · Physics 2015-03-13 Zhihai Wang , D. L. Zhou

This work reports a theoretical framework that combines the auxiliary coherent potential approximation (ACPA-DMFT) with dynamical mean-field theory to study strongly correlated and disordered electronic systems with both diagonal and…

Strongly Correlated Electrons · Physics 2025-02-12 Zelei Zhang , Jiawei Yan , Li Huang , Youqi Ke

Motivated by a number of recent experimental and computational studies of the dynamics of fluids plunged in quenched-disordered external fields, we report on a theoretical investigation of this topic within the framework of the…

Soft Condensed Matter · Physics 2018-10-05 Thomas Konincks , Vincent Krakoviack