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The emergence of macroscopic coherence in a many-body quantum system is a ubiquitous phenomenon across different physical systems and scales. This Chapter reviews key concepts characterizing such systems (correlation functions,…

Quantum Gases · Physics 2025-06-17 Nick P. Proukakis

We investigate the equilibration of an isolated macroscopic quantum system in the sense that deviations from a steady state become unmeasurably small for the overwhelming majority of times within any sufficiently large time interval. The…

Statistical Mechanics · Physics 2012-04-20 Peter Reimann , Michael Kastner

We study macroscopic quantum tunneling of the magnetic moment in a single-domain particle placed above the surface of a superconductor. Such a setup allows one to manipulate the height of the energy barrier, preserving the degeneracy of the…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 Eugene M. Chudnovsky , Jonathan R. Friedman

Quantum superposition states are behind many of the curious phenomena exhibited by quantum systems, including Bell non-locality, quantum interference, quantum computational speed-up, and the measurement problem. At the same time, many…

Quantum Physics · Physics 2016-10-03 John-Mark A. Allen

Spin-boson models are essentially useful in the understanding of quantum optics, nuclear physics, quantum dissipation, and quantum computation. We discuss quantum phase transitions in various spin-boson Hamiltonians, compare, and contrast…

Other Condensed Matter · Physics 2010-05-18 Karyn Le Hur

Using rigorous analytical analysis and exact numerical data for the spin-1/2 transverse Ising chain we discuss the effects of regular alternation of the Hamiltonian parameters on the quantum phase transition inherent in the model.

Statistical Mechanics · Physics 2007-05-23 O. Derzhko , J. Richter , T. Krokhmalskii , O. Zaburannyi

In a number of classical statistical-physical models, there exists a characteristic dimensionality called the upper critical dimension above which one observes the mean-field critical behavior. Instead of constructing high-dimensional…

Statistical Mechanics · Physics 2011-11-24 Seung Ki Baek , Jaegon Um , Su Do Yi , Beom Jun Kim

Quantum computing allows for the manipulation of highly correlated states whose properties quickly go beyond the capacity of any classical method to calculate. Thus one natural problem which could lend itself to quantum advantage is the…

Quantum Physics · Physics 2024-12-19 Kevin Lively , Tim Bode , Jochen Szangolies , Jian-Xin Zhu , Benedikt Fauseweh

Macroscopically populated quantum superpositions pose a question to what extent macroscopic world obeys quantum mechanical laws. Recently such superpositions for light, generated by optimal quantum cloner, were demonstrated. They are of…

Quantum Physics · Physics 2012-06-20 Adam Buraczewski , Magdalena Stobińska

In this sequel paper we explore how macroscopic quantum phenomena can be measured or understood from the behavior of quantum correlations which exist in a quantum system of many particles or components and how the interaction strengths…

Quantum Physics · Physics 2015-05-28 C H Chou , B L Hu , Y Subasi

Measurement-induced phase transitions are often studied in random quantum circuits, with local measurements performed with a certain probability. We present here a model where a global measurement is performed with certainty at every…

Quantum Physics · Physics 2026-04-22 Paranjoy Chaki , Protyush Nandi , Ujjwal Sen , Subinay Dasgupta

We point out that superconducting quantum computers are prospective for the simulation of the dynamics of spin models far from equilibrium, including nonadiabatic phenomena and quenches. The important advantage of these machines is that…

Quantum Physics · Physics 2018-07-27 A. A. Zhukov , S. V. Remizov , W. V. Pogosov , Yu. E. Lozovik

We study equilibrium as well as dynamical properties of the finite-size fully connected Ising model with a transverse field at the zero temperature. In relation to the equilibrium, we present approximate ground and first excited states that…

Statistical Mechanics · Physics 2021-08-06 Arun Sehrawat , Chirag Srivastava , Ujjwal Sen

Predicting the phase diagram of interacting quantum many-body systems is a central problem in condensed matter physics and related fields. A variety of quantum many-body systems, ranging from unconventional superconductors to spin liquids,…

Strongly Correlated Electrons · Physics 2023-09-04 Pascal M. Vecsei , Christian Flindt , Jose L. Lado

"Phase transitions" between quantum and classical behaviour in large spin magnetic systems discused.

Mesoscale and Nanoscale Physics · Physics 2009-11-07 O. P. Martynenko , V. V. Makhro , I. G. Makhro

A phase transition indicates a sudden change in the properties of a large system. For temperature-driven phase transitions this is related to non-analytic behavior of the free energy density at the critical temperature: The knowledge of the…

Statistical Mechanics · Physics 2015-03-20 Markus Heyl , Anatoli Polkovnikov , Stefan Kehrein

Quantifying of quantum coherence of a given system not only plays an important role in quantum information science but also promote our understanding on some basic problems, such as quantum phase transition. Conventional quantum coherence…

Quantum Physics · Physics 2020-10-28 Meng Qin

We investigate a stochastic approach to non-equilibrium quantum spin systems based on recent insights linking quantum and classical dynamics. Exploiting a sequence of exact transformations, quantum expectation values can be recast as…

Statistical Mechanics · Physics 2019-01-31 S. De Nicola , B. Doyon , M. J. Bhaseen

We consider the spin-1/2 Ising chain in a regularly alternating transverse field to examine the effects of regular alternation on the quantum phase transition inherent in the quantum Ising chain. The number of quantum phase transition…

Statistical Mechanics · Physics 2007-05-23 Oleg Derzhko , Taras Krokhmalskii

Open quantum many-body systems with controllable dissipation can exhibit novel features in their dynamics and steady states. A paradigmatic example is the dissipative transverse field Ising model. It has been shown recently that the steady…

Quantum Physics · Physics 2023-12-04 Casey Haack , Naushad Ahmad Kamar , Daniel Paz , Mohammad Maghrebi , Zhexuan Gong