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Topological phases of matter is an exotic phenomena in modern condense matter physics, which has attracted much attention due to the unique boundary states and transport properties. Recently, this topological concept in electronic materials…

Quantum Physics · Physics 2021-08-06 Zheng-Yuan Xue , Yong Hu

In this paper, we investigate signatures of topological phase transitions in interacting systems. We show that the key signature is the existence of a topologically protected level crossing, which is robust and sharply defines the…

Strongly Correlated Electrons · Physics 2011-12-08 Christopher N. Varney , Kai Sun , Marcos Rigol , Victor Galitski

The analogue of a Mott-Hubbard transition is discussed, which appears at an incommensurate filling in a model of a two-dimensional plane, randomly tiled with CuO_4 `molecules', simulating the copper-oxide planes of high-T_c superconductors.…

Strongly Correlated Electrons · Physics 2007-05-23 D. K. Sunko

Besides exploring novel transition patterns, acquiring a full understanding of the transition nature is an ultimate pursuit in studies of phase transitions. The fundamental models of light-matter interactions manifest single-qubit…

Quantum Physics · Physics 2024-05-09 Zu-Jian Ying

We obtain the quantum phase diagram of the ionic Hubbard model including electron-hole symmetric density-dependent hopping. The boundaries of the phases are determined by crossing of excited levels with particular discrete symmetries, which…

Strongly Correlated Electrons · Physics 2023-04-11 P. Roura Bas , A. A. Aligia

To provide a phenomenological theory for the various interesting transitions in restructuring networks we employ a statistical mechanical approach with detailed balance satisfied for the transitions between topological states. This enables…

Statistical Mechanics · Physics 2007-05-23 Imre Derenyi , Illes Farkas , Gergely Palla , Tamas Vicsek

Topological phases of matters are of fundamental interest and have promising applications. Fascinating topological properties of light have been unveiled in classical optical materials. However, the manifestation of topological physics in…

Optics · Physics 2015-08-06 Da-Wei Wang , Han Cai , Luqi Yuan , Shi-Yao Zhu , Ren-Bao Liu

Conventionally the occurrence of topological phase transitions (TPTs) requires gap closing, whereas there are also unconventional cases without need of gap closing. Although traditionally TPTs lie in many-body systems in condensed matter,…

Quantum Physics · Physics 2022-07-05 Zu-Jian Ying

The emerging hybrid cavity optomagnonic system is a very promising quantum information processing platform for its strong or ultrastrong photon-magnon interaction on the scale of micrometers in the experiment. In this paper, the…

Quantum Physics · Physics 2022-04-20 Qian Cao , Lei Tan , Wu-Ming Liu

A potential phase transition between a normal ground state and a photon-condensed ground state in many-dipole light-matter systems is a topic of considerable controversy, exasperated by conflicting no-go and counter no-go theorems and often…

Quantum Physics · Physics 2025-03-27 Daniele Lamberto , Omar Di Stefano , Stephen Hughes , Franco Nori , Salvatore Savasta

Many-body systems when continuous phase transition occurs are mainly built in the interrelationship between particles, implemented through many-body correlations. Some of them may exhibit so-called topological order hardly measured by…

Statistical Mechanics · Physics 2015-06-17 Chung-Pin Chou , Yi-Hua Wang , Ming-Chiang Chung

We introduce a two-dimensional network model that realizes a higher-order topological phase (HOTP). We find that in the HOTP the bulk and boundaries of the system are gapped, and a total of 16 corner states are protected by the combination…

Mesoscale and Nanoscale Physics · Physics 2021-03-31 Hui Liu , Selma Franca , Ali G. Moghaddam , Fabian Hassler , Ion Cosma Fulga

We present an analytic strong-coupling approach to the phase diagram and elementary excitations of the Jaynes-Cummings-Hubbard model describing a superfluid-insulator transition of polaritons in an array of coupled QED cavities. In the Mott…

Other Condensed Matter · Physics 2009-09-01 S. Schmidt , G. Blatter

The connectivity and tunability of superconducting quantum devices provide a rich platform to build quantum simulators and study novel many-body physics. Here we study quantum phase transition in a detuned multi-connected Jaynes-Cummings…

Quantum Physics · Physics 2015-06-01 Kangjun Seo , Lin Tian

Topological photonics provides a novel platform to explore topological physics beyond traditional electronic materials and stimulates promising applications in topologically protected light transport and lasers. Classical degrees of freedom…

To characterize the novel quantum phase transition for a hybrid system consisting of an array of coupled cavities and two-level atoms doped in each cavity, we study the atomic entanglement and photonic visibility in comparison with the…

Quantum Physics · Physics 2009-01-06 M. X. Huo , Ying Li , Z. Song , C. P. Sun

Phase transitions are commonly held to occur only in the thermodynamical limit of large number of system components. Here we exemplify at the hand of the exactly solvable Jaynes-Cummings (JC) model and its generalization to finite…

Quantum Physics · Physics 2016-09-21 Myung-Joong Hwang , Martin B. Plenio

Topological quantum phases underpin many concepts of modern physics. While the existence of disorder-immune topological edge states of electrons usually requires magnetic fields, direct effects of magnetic field on light are very weak. As a…

Recent experiments on strongly coupled cavity quantum electrodynamics present new directions in "matter-light" systems. Following on from our previous work [Phys. Rev. Lett. 102, 135301 (2009)] we investigate Bose-Hubbard models coupled to…

Strongly Correlated Electrons · Physics 2010-03-05 A. O. Silver , M. Hohenadler , M. J. Bhaseen , B. D. Simons

Information about quantum phase transitions in conventional condensed matter systems, must be sought by probing the matter system itself. By contrast, we show that mixed matter-light systems offer a distinct advantage in that the photon…

Quantum Physics · Physics 2009-11-13 Timothy C. Jarrett , Alexandra Olaya-Castro , Neil F. Johnson