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Interactions between many-body atomic systems in optical lattices and light in cavities induce long-range and correlated atomic dynamics beyond the standard Bose-Hubbard model, due to the global nature of the light modes. We characterise…

Quantum Physics · Physics 2016-07-27 Thomas J. Elliott , Igor B. Mekhov

We study the thermodynamics of ultracold Bose atoms in optical lattices by numerically diagonalizing the mean-field Hamiltonian of the Bose-Hubbard model. This method well describes the behavior of long-range correlations and therefore is…

Other Condensed Matter · Physics 2009-11-11 Xiancong Lu , Yue Yu

The dynamics of an initially excited two-level atom in a lossy cavity is studied by using the quantum trajectory method. Unwanted losses are included, such as photon absorption and scattering by the cavity mirrors and spontaneous emission…

Quantum Physics · Physics 2008-04-18 C. Di Fidio , W. Vogel , M. Khanbekyan , D. -G. Welsch

The dynamic response of ultracold Bose gases in one-dimensional optical lattices and superlattices is investigated based on exact numerical time evolutions in the framework of the Bose-Hubbard model. The system is excited by a temporal…

Statistical Mechanics · Physics 2007-05-23 M. Hild , F. Schmitt , R. Roth

Quantum optics and ultracold gases are established fields, but they almost do not overlap: the quantum nature of light is typically neglected in works on ultracold atoms. In our work the quantumness of both light and ultracold matter plays…

Quantum Physics · Physics 2022-04-12 Igor B. Mekhov

The understanding of light-induced dynamical states continues to be a challenging and fruitful pursuit of science. This pursuit is supported by quantum simulation of dynamical phenomena, e.g., in ultracold atom systems. Typically, ultracold…

Quantum Gases · Physics 2026-05-25 Jayson G. Cosme , Ludwig Mathey

The cold-atom on a two-dimensional square optical lattice is studied within the hard-core boson Hubbard model with an alternating potential. In terms of the quantum Monte Carlo method, it is shown explicitly that a supersolid phase emerges…

Strongly Correlated Electrons · Physics 2009-03-26 Huaiming Guo , Yuchuan Wen , Shiping Feng

We describe a method to create fractional quantum Hall states of atoms confined in optical lattices. We show that the dynamics of the atoms in the lattice is analogous to the motion of a charged particle in a magnetic field if an…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 Anders S. Sorensen , Eugene Demler , Mikhail D. Lukin

Phase transitions and their associated crossovers are imprinted in the behavior of fluctuations. Motivated by recent experiments on ultracold atoms in optical lattices, we compute the thermodynamic density fluctuations $\delta N^2$ of the…

Quantum Gases · Physics 2019-05-02 C. Walsh , P. Sémon , G. Sordi , A. -M. S. Tremblay

One of the most remarkable recent developments in the study of ultracold Bose gases is the observation of a reversible transition from a Bose Einstein condensate to a state composed of localized atoms as the strength of a periodic, optical…

Statistical Mechanics · Physics 2008-09-23 M. Aizenman , E. H. Lieb , R. Seiringer , J. P. Solovej , J. Yngvason

For a system at a temperature of absolute zero, all thermal fluctuations are frozen out, while quantum fluctuations prevail. These microscopic quantum fluctuations can induce a macroscopic phase transition in the ground state of a many-body…

Quantum Gases · Physics 2025-06-27 Markus Greiner , Olaf Mandel , Tilman Esslinger , Theodor W Hänsch , Immanuel Bloch

We use a right unitary decomposition to study an ultracold two-level atom interacting with a quantum field. We show that such a right unitary approach simplifies the numerical evolution for arbitrary position-dependent atom-field couplings.…

Quantum Physics · Physics 2015-06-02 F. Soto-Eguibar , A. Zúñiga-Segundo , B. M. Rodríguez-Lara , H. M. Moya-Cessa

In this review article, we present the recent theoretical developments and some breakthrough experiments in cavity QED systems (optical and optomechanical systems) and also focus on the experimental realization of the theoretical proposals.

Quantum Gases · Physics 2014-11-04 Kamanasish Debnath , Aranya B. Bhattacherjee

Ultracold atoms loaded on optical lattices can provide unprecedented experimental systems for the quantum simulations and manipulations of many quantum phases. However, so far, how to detect these quantum phases effectively remains an…

Atomic Physics · Physics 2015-05-18 Jinwu Ye , J. M. Zhang , W. M. Liu , Keye Zhang , Yan Li , Weiping Zhang

We show that simple laser configurations can give rise to "optical flux lattices", in which optically dressed atoms experience a periodic effective magnetic flux with high mean density. These potentials lead to narrow energy bands with…

Quantum Gases · Physics 2011-05-03 N. R. Cooper

The dispersion relation of ultracold atoms in variably shaped optical lattices can be tuned to resemble that of a relativistic particle, i.e. be linear instead of the usual nonrelativistic quadratic dispersion relation of a free atom. Cold…

Quantum Gases · Physics 2016-09-21 Christopher Grossert , Martin Leder , Martin Weitz

We present experimental evidence of the successful closed-loop optimization of the dynamics of cold atoms in an optical lattice. We optimize the loading of an ultracold atomic gas minimizing the excitations in an array of one-dimensional…

Quantum Physics · Physics 2014-01-08 S. Rosi , A. Bernard , N. Fabbri , L. Fallani , C. Fort , M. Inguscio , T. Calarco , S. Montangero

Orbital degree of freedom plays an important role for understanding quantum many-body phenomena. In this work, we study an experimentally related setup with ultracold bosons loaded into hybridized bands of two-dimensional hexagonal optical…

Quantum Gases · Physics 2023-05-15 Pengfei Zhang , Hui Tan , Jianmin Yuan , Yongqiang Li

We investigate the quantum phases of ultracold atoms trapped in a vortex lattice using a mixture of two bosonic species (A and B), in the presence of an artificial gauge field. Heavy atoms of species B are confined in the array of vortices…

Quantum Gases · Physics 2017-06-07 R. H. Chaviguri , T. Comparin , V. S. Bagnato , M. A. Caracanhas

Interactions between atoms and light in optical cavities provide a means of investigating collective (many-body) quantum physics in controlled environments. Such ensembles of atoms in cavities have been proposed for studying collective…