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The features of superfluid-Mott insulator phase transition in the array of dissipative nonlinear cavities are analyzed. We show analytically that the coupling to the bath can be reduced to renormalizing the eigenmodes of atom-cavity system.…

Quantum Physics · Physics 2014-12-16 Ke Liu , Lei Tan , C. -H Lv , W. M. Liu

In the present work we propose a novel quantum material concept, which enables super- and/or ultrastrong interaction of two-level systems with the photonic field in a complex network. Within the mean field approximation we examine phase…

Quantum Physics · Physics 2025-07-23 A. Yu. Bazhenov , M. Nikitina , Alexander Alodjants

We investigate a spinless Fermi gas trapped in a honeycomb optical lattice with attractive nearest-neighbor interactions. At zero temperature, mean-field theory predicts three quantum phase transitions, two being topological. At low…

Quantum Gases · Physics 2015-05-19 Dario Poletti , Christian Miniatura , Benoit Gremaud

Although two-dimensional periodic structures have functioned as the primary platform for exploring topological phenomena, recent advances have substantially expanded this research boundary to include more intricate, aperiodic structures:…

Mesoscale and Nanoscale Physics · Physics 2026-03-12 Sunkyu Yu , Xianji Piao , Namkyoo Park

This article reviews recent theoretical and experimental advances in the fundamental understanding and active control of quantum fluids of light in nonlinear optical systems. In presence of effective photon-photon interactions induced by…

Quantum Gases · Physics 2013-02-25 Iacopo Carusotto , Cristiano Ciuti

We explore quantum phase transitions in the multiphoton Jaynes-Cummings-Hubbard model (JCHM). Using the mean-field approximation, we demonstrate that the multiphoton JCHM exhibits quantum phase transitions between the Mott insulator (MI)…

Quantum Physics · Physics 2025-09-16 Hiroo Azuma , William J. Munro , Kae Nemoto

The quantum phase transition in an atom-molecule conversion system with atomic hopping between different hyperfine states is studied. In mean field approximation, we give the phase diagram whose phase boundary only depends on the atomic…

Quantum Gases · Physics 2015-06-12 Ning-Ju Hui , Li-Hua Lu , Xiao-Qiang Xu , You-Quan Li

This study targets quantum phases which are characterized by topological properties and no associated with the symmetry breaking. We concern ourselves primarily with the transitions among these quantum phases. This type of quantum phase…

General Physics · Physics 2013-07-15 Izumi Tanaka

The impacts that the environment has on the quantum phase transition of light in the DickeBose-Hubbard model are investigated. Based on the quasibosonic approach, mean field theory and the perturbation theory, the formulation of the…

Quantum Physics · Physics 2017-10-04 Ren-Cun Wu , Lei Tan , Wen-Xuan Zhang , Wu-Ming Liu

A few decades ago, quantum optics stood out as a new domain of physics by exhibiting states of light with no classical equivalent. The first investigations concerned single photons, squeezed states, twin beams and EPR states, that involve…

Quantum Physics · Physics 2020-09-16 Claude Fabre , Nicolas Treps

Topological photonics is a rapidly emerging field of research in which geometrical and topological ideas are exploited to design and control the behavior of light. Drawing inspiration from the discovery of the quantum Hall effects and…

One of the most remarkable results of quantum mechanics is the fact that many-body quantum systems may exhibit phase transitions even at zero temperature. Quantum fluctuations, deeply rooted in Heisenberg's uncertainty principle, and not…

Topological physics opens up a plethora of exciting phenomena allowing to engineer disorder-robust unidirectional flows of light. Recent advances in topological protection of electromagnetic waves suggest that even richer functionalities…

In cavity quantum electrodynamics (QED), light-matter interaction is probed at its most fundamental level, where individual atoms are coupled to single photons stored in three-dimensional cavities. This unique possibility to experimentally…

Mesoscale and Nanoscale Physics · Physics 2010-10-05 T. Niemczyk , F. Deppe , H. Huebl , E. P. Menzel , F. Hocke , M. J. Schwarz , J. J. Garcia-Ripoll , D. Zueco , T. Hümmer , E. Solano , A. Marx , R. Gross

In recent years, quantum phase transitions have attracted the interest of both theorists and experimentalists in condensed matter physics. These transitions, which are accessed at zero temperature by variation of a non-thermal control…

Condensed Matter · Physics 2009-11-10 Matthias Vojta

We review recent developments concerning non-equilibrium quantum dynamics and many-body physics with light, in superconducting circuits and Josephson analogues. We start with quantum impurity models summarizing the effect of dissipation and…

Mesoscale and Nanoscale Physics · Physics 2016-09-06 Karyn Le Hur , Loïc Henriet , Alexandru Petrescu , Kirill Plekhanov , Guillaume Roux , Marco Schiró

A system of neutral atoms trapped in an optical lattice and dispersively coupled to the field of an optical cavity can realize a variation of the Bose-Hubbard model with infinite-range interactions. This model exhibits a first order quantum…

Quantum Physics · Physics 2018-02-09 Sascha Wald , Andre Timpanaro , Cecilia Cormick , Gabriel T. Landi

We investigate the existence of quantum {\it quasi} phase transitions for an ensemble of ultracold bosons in a one-dimensional optical lattice, performing exact diagonalizations of the Bose-Hubbard Hamiltonian. When an external parabolic…

Condensed Matter · Physics 2009-11-10 G. Pupillo , E. Tiesinga , C. J. Williams

When light and matter are weakly coupled, they can be described as two distinctive systems exchanging quanta of energy. By contrast, for very large coupling strength, the systems hybridize and form compounds that cannot be described in…

Quantum Physics · Physics 2021-05-25 Louis Garbe

Topology is an important degree of freedom in characterizing electronic systems. Recently, it also brings new theoretical frontiers and many potential applications in photonics. However, the verification of the topological nature is highly…

Quantum Physics · Physics 2016-06-23 Yan-Pu Wang , Wan-Li Yang , Zheng-Yuan Xue , Yong Hu , Ying Wu