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Strongly correlated quantum matter -- such as interacting electron systems or interacting quantum fluids -- possesses properties that cannot be understood in terms of linear fluctuations and free quasi-particles. Quantum fluctuations in…

We investigate one-dimensional systems with both energy conservation and a continuous symmetry, focusing on the impact of a boundary perturbation that breaks the continuous symmetry. Our study reveals two distinct dynamical phases: one in…

Quantum Physics · Physics 2026-03-17 Qucheng Gao , Xiao Chen

We have calculated the ground state wave functions for a systems of multicomponent interacting fermions. We show that it describes the state with spontaneously broken chiral symmetry. In the limit of an infinitely strong interaction it…

Strongly Correlated Electrons · Physics 2007-05-23 V. V. Afonin , V. L. Gurevich , V. Yu. Petrov

A two species particle model on an open chain with dynamics which is non-conserving in the bulk is introduced. The dynamical rules which define the model obey a symmetry between the two species. The model exhibits a rich behavior which…

Statistical Mechanics · Physics 2009-11-10 E. Levine , R. D. Willmann

We construct a quantum system of spherical spins with a continuous local symmetry. The model is exactly soluble in the thermodynamic limit and exhibits a number of interesting properties. We show that the local symmetry is spontaneously…

High Energy Physics - Theory · Physics 2015-02-18 Pedro R. S. Gomes , P. F. Bienzobaz

In the present work the evolution of a coherent field structure of the Sine-Gordon equation under quantum fluctuations is studied. The basic equations are derived from the coherent state approximation to the functional Schr\"odinger…

High Energy Physics - Phenomenology · Physics 2009-10-31 A. Corichi , G. Cruz-Pacheco , A. Minzoni , P. Padilla , M. Rosenbaum , M. P. Ryan , N. F. Smyth

Decoherence of quantum systems due to uncontrolled fluctuations of the environment presents fundamental obstacles in quantum science. `Clock' transitions which are insensitive to such fluctuations are used to improve coherence, however,…

Quantum Gases · Physics 2018-01-24 D. Trypogeorgos , A. Valdés-Curiel , N. Lundblad , I. B. Spielman

Study of the combined effects of strong electronic correlations with spin-orbit coupling (SOC) represents a central issue in quantum materials research. Predicting emergent properties represents a huge theoretical problem since the presence…

Strongly Correlated Electrons · Physics 2017-02-14 L. Lu , M. Song , W. Liu , A. P. Reyes , P. Kuhns , H. O. Lee , I. R. Fisher , V. F. Mitrović

We systematically investigate the properties of three-dimensional dipolar binary Bose mixture at low temperatures. A set of coupled self-consistent equations of motion are derived for the two condensates. In the homogeneous case, useful…

Quantum Gases · Physics 2018-10-01 Abdelaali Boudjemaa

We analyze the phenomena of spontaneous symmetry breaking in Quantum Finance by using as a starting point the Black-Scholes (BS) and the Merton-Garman (MG) equations expressed in the Hamiltonian form. In this scenario the martingale…

General Finance · Quantitative Finance 2020-11-11 Ivan Arraut , Alan Au , Alan Ching-biu Tse

The interplay between bulk properties and boundary conditions in one-dimensional quantum systems, gives rise to many intriguing phenomena. These include the emergence of zero energy modes which are of significant interest to a variety of…

Strongly Correlated Electrons · Physics 2025-06-02 Parameshwar R. Pasnoori , Patrick Azaria , Colin Rylands , Natan Andrei

Symmetry in mixed quantum states can manifest in two distinct forms: strong symmetry, where each individual pure state in the quantum ensemble is symmetric with the same charge, and weak symmetry, which applies only to the entire ensemble.…

Quantum Physics · Physics 2025-03-11 Leonardo A. Lessa , Ruochen Ma , Jian-Hao Zhang , Zhen Bi , Meng Cheng , Chong Wang

The spectral fluctuations of complex quantum systems, in appropriate limit, are known to be consistent with that obtained from random matrices. However, this relation between the spectral fluctuations of physical systems and random matrices…

Quantum Physics · Physics 2020-09-16 S. Harshini Tekur , M. S. Santhanam

Spontaneous symmetry breaking plays a pivotal role in physics ranging from the emergence of elementary particles to the phase transitions of matter. The spontaneous breaking of continuous time translation symmetry leads to a novel state of…

The effect of spontaneous breaking of initial SO(3) symmetry is shown to be possible for an H-like atom in the ground state, when it is confined in a spherical box under general boundary conditions of "not going out" through the box surface…

Atomic Physics · Physics 2017-08-02 K. Sveshnikov , A. Tolokonnikov

The problem of particle fluctuations in arbitrary nonuniform systems with Bose-Einstein condensate is considered. This includes the case of trapped Bose atoms. It is shown that the correct description of particle fluctuations for any…

Quantum Gases · Physics 2015-05-13 V. I. Yukalov

Dynamical symmetry breaking in an expanding nuclear system is investigated in semi-classical and quantum framework by employing a collective transport model which is constructed to mimic the collective behavior of expanding systems. It is…

Nuclear Theory · Physics 2009-10-31 W. Wen , P. Chau Huu-Tai , D. Lacroix , Ph. Chomaz , S. Ayik

Particle fluctuations in systems, exhibiting Bose-Einstein condensation, are reviewed in order to clarify the basic points that attract high interest and often confront misunderstanding. It is explained that the so-called ``grand canonical…

Quantum Gases · Physics 2024-10-14 V. I. Yukalov

We study the collapse and revival of coherence induced by dipolar spin waves in a trapped gas of Rb-87 atoms. In particular we observe spatially localized collapse and revival of Ramsey fringe contrast and show how the pattern of coherence…

Quantum Gases · Physics 2016-07-11 J. M. McGuirk , L. F. Zajiczek

It is conjectured that flavor mixing furnishes a universal mechanism for the spontaneous breaking of supersymmetry. The conjecture is proved explicitly for the mixing of two Wess--Zumino $\mathcal{N}=1$ supermultiplets and arguments for its…

High Energy Physics - Theory · Physics 2011-08-23 Antonio Capolupo , Marco Di Mauro , Alfredo Iorio
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