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In this paper we discuss and analyse the idea of trying to see (non-relativistic) quantum mechanics as a ``space-time statistical mechanics'', by using the classical statistical mechanical method on objective microscopic space-time…

Quantum Physics · Physics 2007-05-23 Anders Månsson

An effective Hamiltonian describing interaction between generic "fast" and a "slow" systems is obtained in the strong interaction limit. The result is applied for studying the effect of quantum phase transition as a bifurcation of the…

Quantum Physics · Physics 2009-11-13 Isabel Sainz , Andrei B. Klimov , Luis Roa

We address quantum critical systems as a resource in quantum estimation and derive the ultimate quantum limits to the precision of any estimator of the coupling parameters. In particular, if L denotes the size of a system and \lambda is the…

Quantum Physics · Physics 2009-11-13 Paolo Zanardi , Matteo G A Paris , Lorenzo Campos Venuti

We report on an experimental study of the Lipkin-Meshkov-Glick model of quantum spins interacting at infinite range in a transverse magnetic field, which exhibits a ferromagnetic phase transition in the thermodynamic limit. We use…

Dynamical quantum phase transitions are at the forefront of current efforts to understand quantum matter out of equilibrium. Except for a few exactly solvable models, predictions of these critical phenomena typically rely on advanced…

Strongly Correlated Electrons · Physics 2022-07-18 Fredrik Brange , Sebastiano Peotta , Christian Flindt , Teemu Ojanen

We present a pedagogical overview of recent theoretical work on unconventional quantum phases and quantum phase transitions in condensed matter systems. Strong correlations between electrons can lead to a breakdown of two traditional…

Strongly Correlated Electrons · Physics 2009-11-11 Fabien Alet , Aleksandra M. Walczak , Matthew P. A. Fisher

A quantum system can undergo a continuous phase transition at the absolute zero of temperature as some parameter entering its Hamiltonian is varied. These transitions are particularly interesting for, in contrast to their classical finite…

Condensed Matter · Physics 2009-10-28 S. L. Sondhi , S. M. Girvin , J. P. Carini , D. Shahar

We develop a method using a coarse graining of the energy fluctuations of an equilibrium quantum system which produces simple parameterizations for the behaviour of the system. As an application, we use these methods to gain more…

Statistical Mechanics · Physics 2007-05-23 Jani Lukkarinen

Closed quantum many-body systems out of equilibrium pose several long-standing problems in physics. Recent years have seen a tremendous progress in approaching these questions, not least due to experiments with cold atoms and trapped ions…

Quantum Physics · Physics 2015-09-02 J. Eisert , M. Friesdorf , C. Gogolin

Systems of spin 1, such as triplet pairs of spin-1/2 fermions (like orthohydrogen nuclei) make useful three-terminal elements for quantum computation, and when interconnected by qubit equality relations are universal for quantum…

Quantum Physics · Physics 2007-05-23 Giuseppe Castagnoli , David Ritz Finkelstein

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

A selected set of topics in quantum phase transition is discussed. It includes dissipative quantum phase transitions, the role of disorder, and the relevance of quantum phase transition to measurement theory in quantum mechanics.

Strongly Correlated Electrons · Physics 2015-03-13 Sudip Chakravarty

In this work we build a theoretical framework for the transport of information in quantum systems. This is a framework aimed at describing how out of equilibrium open quantum systems move information around their state space, using an…

Quantum Physics · Physics 2021-07-23 F. Anza

Transitions from classical to quantum behaviour in a spin system with two degenerate ground states separated by twin energy barriers which are asymmetric due to an applied magnetic field are investigated. It is shown that these transitions…

Condensed Matter · Physics 2009-10-31 S. -Y. Lee , H. J. W. Mueller-Kirsten , D. K. Park , F. Zimmerschied

In the thermodynamics of nanoscopic systems the relation between classical and quantum mechanical description is of particular importance. To scrutinize this correspondence we have picked out two 2-dim billiard systems. Both systems are…

Chaotic Dynamics · Physics 2022-06-08 Sebastian Rosmej , Mattes Heerwagen

In this paper, the impact of temperature fluctuations in the entanglement of two qubits described by a spin-1/2 XX model is studied. To describe the out-of-equilibrium situation, super-statistics is used with fluctuations given by a…

Quantum Physics · Physics 2021-09-03 Jorge David Castaño-Yepes , Cristian Felipe Ramirez-Gutierrez

A general procedure for studying finite-N effects in quantum phase transitions of finite systems is presented and applied to the critical-point dynamics of nuclei undergoing a shape-phase transition of second-order (continuous), and of…

Nuclear Theory · Physics 2007-05-23 A. Leviatan

This colloquium gives an overview of recent theoretical and experimental progress in the area of nonequilibrium dynamics of isolated quantum systems. We particularly focus on quantum quenches: the temporal evolution following a sudden or…

Statistical Mechanics · Physics 2011-09-29 Anatoli Polkovnikov , Krishnendu Sengupta , Alessandro Silva , Mukund Vengalattore

The study of thermodynamic fluctuations allows one to relate the free energy difference between two equilibrium states with the work done on a system through processes far from equilibrium. This finding plays a crucial role in the quantum…

Non-equilibrium dynamics of many-body systems is important in many branches of science, such as condensed matter, quantum chemistry, and ultracold atoms. Here we report the experimental observation of a phase transition of the quantum…

Quantum Physics · Physics 2015-09-24 Gonzalo A. Alvarez , Dieter Suter , Robin Kaiser
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