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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

We study a random matrix model for the statistical properties of the purity of a bipartite quantum system at a finite (fictitious) temperature. This enables us to write the generating function for the cumulants, for both balanced and…

Quantum Physics · Physics 2010-01-30 P. Facchi , U. Marzolino , G. Parisi , S. Pascazio , A. Scardicchio

The characterization of collective behavior and nonequilibrium phase transitions in quantum systems is typically rooted in the analysis of suitable system observables, so-called order parameters. These observables might not be known a…

Quantum Physics · Physics 2026-02-20 Erik Fitzner , Francesco Carnazza , Federico Carollo , Igor Lesanovsky

The influence of quantum phase transitions on the evolution of excited levels in the critical parameter region is discussed. The analysis is performed for 1D and 2D systems with first- and second-order ground-state transitions. Examples…

Quantum Physics · Physics 2009-11-13 Pavel Cejnar , Pavel Stransky

In this Chapter, we give a brief review of the state of the art of theoretical and experimental studies of quantum fluids of light. Such systems consist of ensembles of photons that acquire a finite mass from spatial confinement or…

Quantum Physics · Physics 2022-11-22 Iacopo Carusotto

Quantum phase transitions (QPTs) in qubit systems are known to produce singularities in the entanglement, which could in turn be used to probe the QPT. Current proposals to measure the entanglement are challenging however, because of their…

Mesoscale and Nanoscale Physics · Physics 2013-08-26 Yun-Pil Shim , Sangchul Oh , Jianjia Fei , Xuedong Hu , Mark Friesen

I review our incomplete understanding of non-Fermi liquid behavior in heavy fermion systems at a quantum critical point. General considerations suggest that critical antiferromagnetic fluctuations do not destroy the Fermi surface by…

Strongly Correlated Electrons · Physics 2009-10-31 P. Coleman

We present a general introduction to the non-zero temperature dynamic and transport properties of low-dimensional systems near a quantum phase transition. Basic results are reviewed in the context of experiments on the spin-ladder…

Strongly Correlated Electrons · Physics 2007-05-23 Subir Sachdev , Matthias Vojta

Magnetic fluctuations and electrons couple in intriguing ways in the vicinity of zero temperature phase transitions - quantum critical points - in conducting materials. Quantum criticality is implicated in non-Fermi liquid behavior of…

Strongly Correlated Electrons · Physics 2014-12-05 Lucile Savary , Eun-Gook Moon , Leon Balents

Quantum Phase Transition (QPT) is a phase transition between different quantum states by adjusting some control parameters. Based on the Principle of Hamilton Dynamics (PHD) and the Principle of Lagrangian Dynamics (PLD), a general QPT…

Analysis of PDEs · Mathematics 2016-12-09 Tian Ma , Da-peng Li , Ruikuan Liu , Jiayan Yang

We construct and discuss the field theory for tensorial nematic order parameter coupled to gapless four-component fermions at the quadratic band touching point in three (spatial) dimensions. Within a properly formulated epsilon-expansion…

Strongly Correlated Electrons · Physics 2015-07-22 Lukas Janssen , Igor F. Herbut

The Fermi liquid paradigm for metals has contributed enormously to our understanding of condensed matter systems. However a growing number of quantum critical systems have been shown to exhibit non Fermi liquid behavior. A full…

Strongly Correlated Electrons · Physics 2020-09-02 C. -Y. Lin , Y. -Y. Chang , C. Rylands , N. Andrei , C. -H. Chung

Quantum phenomena offer the possibility of measuring physical quantities with precision beyond classical limits. However, current progress is constrained by scalability, environmental noise, and challenges in practical integration. This…

Quantum Physics · Physics 2025-10-24 George Mihailescu , Uesli Alushi , Roberto Di Candia , Simone Felicetti , Karol Gietka

Several basic problems of the theory of quantum phase transitions are reviewed. The effect of the quantum correlations on the phase transition properties is considered with the help of basic models of statistical physics. The effect of…

Statistical Mechanics · Physics 2009-11-10 D. V. Shopova , D. I. Uzunov

We investigate a system of three tunnel-coupled semiconductor quantum dots in a triangular geometry, one of which is connected to a metallic lead, in the regime where each dot is essentially singly occupied. Both ferro- and…

Strongly Correlated Electrons · Physics 2015-12-22 Andrew K. Mitchell , Thomas F. Jarrold , David E. Logan

Quantum information processing exploits all the features quantum mechanics offers. Among them there is the possibility to induce nonlinear maps on a quantum system by involving two or more identical copies of the given system in the same…

Quantum Physics · Physics 2019-03-05 Martin Malachov , Igor Jex , Orsolya Kálmán , Tamás Kiss

In this article we provide a review of geometrical methods employed in the analysis of quantum phase transitions and non-equilibrium dissipative phase transitions. After a pedagogical introduction to geometric phases and geometric…

Quantum Physics · Physics 2019-11-25 Angelo Carollo , Davide Valenti , Bernardo Spagnolo

We introduce a coherence susceptibility method, based on the fact that it signals quantum fluctuations, for identifying quantum phase transitions, which are induced by quantum fluctuations. This method requires no prior knowledge of order…

Quantum Physics · Physics 2016-08-18 Jin-Jun Chen , Jian Cui , Yu-Ran Zhang , Heng Fan

Metal--insulator transitions and transitions between different quantum Hall liquids are used to describe the physical ideas forming the basis of quantum phase transitions and the methods of application of theoretical results in processing…

Disordered Systems and Neural Networks · Physics 2009-11-13 V. F. Gantmakher , V. T. Dolgopolov

In this chapter we discuss aspects of the quantum critical behavior that occurs at a quantum phase transition separating a topological phase from a conventionally ordered one. We concentrate on a family of quantum lattice models, namely…

Strongly Correlated Electrons · Physics 2015-05-14 Claudio Castelnovo , Simon Trebst , Matthias Troyer
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