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Dynamical quantum phase transitions (DQPTs) at critical times appear as non-analyticities during nonequilibrium quantum real-time evolution. Although there is evidence for a close relationship between DQPTs and equilibrium phase…

Statistical Mechanics · Physics 2015-10-06 Markus Heyl

Within the unified framework of exploiting the relative entropy as a distance measure of quantum correlations, we make explicit the hierarchical structure of quantum coherence, quantum discord and quantum entanglement in multipartite…

Quantum Physics · Physics 2015-08-19 Yao Yao , Xing Xiao , Li Ge , C. P. Sun

In this work, we study analytically the phase transitions in quasi-periodically driven one dimensional quantum critical systems that are described by conformal field theories (CFTs). The phase diagrams and phase transitions can be…

Statistical Mechanics · Physics 2025-03-13 Jiyuan Fang , Qi Zhou , Xueda Wen

Entropy and free energy are central concepts in both statistical physics and information theory, with quantum and classical facets. In mathematics these concepts appear quite often in different contexts (dynamical systems, probability…

Mathematical Physics · Physics 2025-10-20 Zied Ammari , Michele Correggi , Marco Falconi , Raphaël Gautier

Standard entropy calculations in quantum field theory, when applied to a subsystem of definite volume, exhibit area-dependent UV divergences that make a thermodynamic interpretation troublesome. In this paper we define a renormalized…

High Energy Physics - Theory · Physics 2009-01-28 Sergio Cacciatori , Fabio Costa , Federico Piazza

Observational entropy provides a general notion of quantum entropy that appropriately interpolates between Boltzmann's and Gibbs' entropies, and has recently been argued to provide a useful measure of out-of-equilibrium thermodynamic…

Quantum Physics · Physics 2023-05-09 Francesco Buscemi , Joseph Schindler , Dominik Šafránek

We study a quantum phase transition which occurs in a system composed of two impurities (or quantum dots) each coupled to a different interacting (Luttinger-liquid) lead. While the impurities are coupled electrostatically, there is no…

Mesoscale and Nanoscale Physics · Physics 2015-06-04 Moshe Goldstein , Yuval Gefen , Richard Berkovits

Energy-filtered quantum states are promising candidates for efficiently simulating thermal states. We explore a protocol designed to transition a product state into an eigenstate located in the middle of the spectrum; this is achieved by…

Quantum Physics · Physics 2025-01-17 Gianluca Morettini , Luca Capizzi , Maurizio Fagotti , Leonardo Mazza

We propose a new approach to study quantum phase transitions in low-dimensional fermionic or spin models that go from uniform to spatially inhomogeneous phases such as dimerized, trimerized, or incommensurate phases. It is based on studying…

Strongly Correlated Electrons · Physics 2009-11-11 Ö. Legeza , J. Sólyom , L. Tincani , R. M. Noack

Quantum critical states exhibit strong quantum fluctuations and are therefore highly susceptible to perturbations. In this work we study the dynamical stability against a sudden coupling to these strong fluctuations by quenching the order…

Statistical Mechanics · Physics 2017-02-21 Markus Heyl

Quantum phase transitions occur at zero temperature and involve the appearance of long-range correlations. These correlations are not due to thermal fluctuations but to the intricate structure of a strongly entangled ground state of the…

Quantum Physics · Physics 2008-11-26 G. Vidal , J. I. Latorre , E. Rico , A. Kitaev

We study the quantum phase transition of the one-dimensional phase model in the presence of dissipative frustration, provided by an interaction of the system with the environment through two non-commuting operators. Such a model can be…

Statistical Mechanics · Physics 2018-04-25 Dominik Maile , Sabine Andergassen , Wolfgang Belzig , Gianluca Rastelli

The aim of this work is to compute the entanglement entropy of real and virtual particles by rewriting the generating functional of $\phi ^{4}$ theory as a mean value between states and observables defined through the correlation functions.…

Quantum Physics · Physics 2015-04-07 Juan Sebastian Ardenghi

In quantum information theory, von Neumann entropy plays an important role. The entropies can be obtained analytically only for a few states. In continuous variable system, even evaluating entropy numerically is not an easy task since the…

Quantum Physics · Physics 2015-05-13 Xiao-yu Chen

A general geometrical structure of the entanglement entropy for spatial partition of a relativistic QFT system is established by using methods of the effective gravity action and the spectral geometry. A special attention is payed to the…

High Energy Physics - Theory · Physics 2008-11-26 Dmitri V. Fursaev

As a hallmark of pure quantum effect, quantum entanglement has provided unconventional routes to condensed matter systems. Here, from the perspective of quantum entanglement, we disclose exotic quantum physics in non-Hermitian…

Mesoscale and Nanoscale Physics · Physics 2022-03-30 Li-Mei Chen , Yao Zhou , Shuai A. Chen , Peng Ye

In this paper we consider a system of two two-level atoms interacting with a single-mode quantized electromagnetic field in a lossless resonant cavity via $l$-photon-transition mechanism. The field and the atoms are initially prepared in…

Quantum Physics · Physics 2009-11-13 Faisal A. A. El-Orany , Wahiddin M R B , Obada A-S F

Many-body quantum systems in the ground states have zero-point energy due to the uncertainty relation. In many cases, the system in the ground state accompanies spatially-entangled energy density fluctuation via the noncommutativity of the…

Quantum Physics · Physics 2015-06-12 Masahiro Hotta

We formulate a semi-classical circuit model to clarify the role of quantum entanglement in the recently discovered encoding phase transitions in quantum circuits with measurements. As a starting point we define a random circuit model with…

Quantum Physics · Physics 2023-05-12 Anasuya Lyons , Soonwon Choi , Ehud Altman

Non Gaussian states and processes are useful resources in quantum information with continuous variables. An experimentally accessible criterion has been proposed to measure the degree of non Gaussianity of quantum states, based on the…