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We found analytically a first order quantum phase transition in the Cooper pair box array of $N$ low-capacitance Josephson junctions capacitively coupled to a resonant photon in a microwave cavity. The Hamiltonian of the system maps on the…

Strongly Correlated Electrons · Physics 2018-06-12 Sergei I. Mukhin , Nikolay V. Gnezdilov

Quantum phase transitions encompass a variety of phenomena that occur in quantum systems exhibiting several possible symmetries. Traditionally, these transitions are explored by continuously varying a control parameter that connects two…

Quantum Physics · Physics 2024-06-12 Á. Sáiz , J. Khalouf-Rivera , J. M. Arias , P. Pérez-Fernández , J. Casado-Pascual

Exposing a many-body system to external drives and losses can transform the nature of its phases and opens perspectives for engineering new properties of matter. How such characteristics are related to the underlying microscopic processes…

Nonequilibrium dynamics is a paramount scenario for studying quantum systems. The emergence of new features with no equilibrium counterpart, such as dynamical quantum phase transition (DQPT), has attracted wide attention. In this work, we…

Quantum Physics · Physics 2022-08-17 Francisco J. González , Ariel Norambuena , Raúl Coto

Atomic ensembles strongly interacting with light constitute rich quantum-optical many-body systems, with the potential for observing cooperative effects and dissipative nonequilibrium phase transitions. We theoretically analyze the…

Quantum Physics · Physics 2025-01-28 Janne Ruostekoski

There is generally no obvious evidence in any direct relation between photon blockade and atomic coherence. Here instead of only illustrating the photon statistics, we show an interesting relation between the steady-state photon blockade…

Quantum Physics · Physics 2017-04-19 Yang Zhang , Jun Zhang , Chang-shui Yu

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…

Mediated photon-photon interactions are realized in a superconducting coplanar waveguide cavity coupled to a superconducting charge qubit. These non-resonant interactions blockade the transmission of photons through the cavity. This…

Mesoscale and Nanoscale Physics · Physics 2013-05-29 A. J. Hoffman , S. J. Srinivasan , S. Schmidt , L. Spietz , J. Aumentado , H. E. Türeci , A. A. Houck

The hunt for exotic quantum phase transitions described by emergent fractionalized degrees of freedom coupled to gauge fields requires a precise determination of the fixed point structure from the field theoretical side, and an extreme…

Strongly Correlated Electrons · Physics 2023-09-25 Jonathan D'Emidio , Alexander A. Eberharter , Andreas M. Läuchli

Metastability is a quintessential feature of first order quantum phase transitions, which is lost either by dynamical instability or by nucleating bubbles of a true vacuum through quantum tunneling. By considering a drive across the first…

Statistical Mechanics · Physics 2021-07-28 Aritra Sinha , Titas Chanda , Jacek Dziarmaga

We study quantum dynamics of many-qubit systems strongly coupled to a quantized electromagnetic cavity mode, in the presence of decoherence and dissipation for both fermions and cavity photons. The analytic solutions are derived for a broad…

Quantum Physics · Physics 2021-09-01 Mikhail Tokman , Qianfan Chen , Maria Erukhimova , Yongrui Wang , Alexey Belyanin

The theory of second order phase transitions is one of the foundations of modern statistical mechanics and condensed matter theory. A central concept is the observable `order parameter', whose non-zero average value characterizes one or…

Strongly Correlated Electrons · Physics 2007-05-23 T. Senthil , Ashvin Vishwanath , Leon Balents , Subir Sachdev , M. P. A. Fisher

We study the properties of an array of QED-cavities coupled by nonlinear elements in the presence of photon leakage and driven by a coherent source. The main effect of the nonlinear couplings is to provide an effective cross-Kerr…

Quantum Physics · Physics 2014-09-02 Jiasen Jin , Davide Rossini , Martin Leib , Michael J. Hartmann , Rosario Fazio

An arbitrary initial state of an optical or microwave field in a lossy driven nonlinear cavity can be changed, in the steady-state limit, into a partially incoherent superposition of only the vacuum and the single-photon states. This effect…

Many-body systems constructed of quantum-optical building blocks can now be realized in experimental platforms ranging from exciton-polariton fluids to ultracold gases of Rydberg atoms, establishing a fascinating interface between…

The competition between interactions and dissipative processes in a quantum many-body system can drive phase transitions of different order. Exploiting a combination of cluster methods and quantum trajectories, we show how the systematic…

Statistical Mechanics · Physics 2018-12-19 Jiasen Jin , Alberto Biella , Oscar Viyuela , Cristiano Ciuti , Rosario Fazio , Davide Rossini

We investigate two equivalent, capacitively coupled semiconducting quantum dots, each coupled to its own lead, in a regime where there are two electrons on the double dot. With increasing interdot coupling a rich range of behavior is…

Strongly Correlated Electrons · Physics 2007-05-23 Martin R. Galpin , David E. Logan , H. R. Krishnamurthy

We establish a set of nonequilibrium quantum phase transitions in the Lipkin-Meshkov-Glick model under monochromatic modulation of the inter-particle interaction. We show that the external driving induces a rich phase diagram that…

Quantum Physics · Physics 2013-05-20 G. Engelhardt , V. M. Bastidas , C. Emary , T. Brandes

A new microcanonical equilibrium state is introduced for quantum systems with finite-dimensional state spaces. Equilibrium is characterised by a uniform distribution on a level surface of the expectation value of the Hamiltonian. The…

Quantum Physics · Physics 2007-10-25 Dorje C. Brody , Daniel W. Hook , Lane P. Hughston

We predict the existence of novel first-order phase transitions in a general class of multi-qubit-cavity systems. Apart from atomic systems, the associated super-radiant phase transition should be observable in a variety of solid-state…

Quantum Physics · Physics 2007-05-23 Chiu Fan Lee , Neil F. Johnson
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