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This paper presents an elementary theory of the phase-coherent collective excitations in both He II in the gravitational field and atomic Bose-Einstein condensation in a trap. The theory is based on the concept of off-diagonal long-range…

Other Condensed Matter · Physics 2009-03-30 S. J. Han

Spontaneous symmetry breaking has revolutionized the understanding in numerous fields of modern physics. Here, we theoretically demonstrate the spontaneous time-reversal symmetry breaking in a cavity quantum electrodynamics system in which…

Quantum Physics · Physics 2018-08-01 Yu-Kun Lu , Pai Peng , Qi-Tao Cao , Da Xu , Jan Wiersig , Qihuang Gong , Yun-Feng Xiao

We study spontaneous symmetry breaking in one dimensional quantum mechanical problems in terms of two-point boundary problems which lead to singular potentials containing Dirac delta functions and its derivatives. We search for…

Mathematical Physics · Physics 2019-02-18 A. Restuccia , A. Sotomayor , V. Strauss

The fundamental problem is analized, the relation between Bose-Einstein condensation and spontaneous gauge symmetry breaking. This relation is largerly misunderstood in physics community. Numerous articles and books contain the statement…

Statistical Mechanics · Physics 2015-05-13 V. I. Yukalov

We study the quantum phase transition occurring in an infinite homogeneous system of spin 1/2 fermions in a non-relativistic context. As an example we consider neutrons interacting through a simple spin-spin Heisenberg force. The two…

Nuclear Theory · Physics 2009-11-10 A. Beraudo , A. De Pace , M. Martini , A. Molinari

We examine the phase evolution of a Bose-Einstein condensate of photons generated in a dye microcavity by temporal interference with a phase reference. The photo-excitable dye molecules constitute a reservoir of variable size for the…

Quantum fluctuations are ubiquitous in physics. Ranging from conventional examples like the harmonic oscillator to intricate theories on the origin of the universe, they alter virtually all aspects of matter -- including superconductivity,…

Materials Science · Physics 2021-01-04 Juba Bouaziz , Julen Ibañez-Azpiroz , Filipe S. M. Guimarães , Samir Lounis

We investigate the parametric amplification of the zero-point fluctuations in the spin modes of a two-component Bose-Einstein condensate, triggered by the dynamical evolution of the condensate density. We first make use of a Thomas-Fermi…

Quantum Gases · Physics 2021-10-04 Salvatore Butera , Iacopo Carusotto

We consider the self-evolution of strongly non-equilibrium interacting Bose gas. Due to the mere fact of large (as compared to unity) occupation numbers in the initial state the problem is directly reduced to the question of temporal…

Condensed Matter · Physics 2009-10-30 Yu. Kagan , B. V. Svistunov

The question of whether Bose-Einstein condensation involves spontaneous symmetry breaking is surprisingly controversial. We review the theory of spontaneous symmetry breaking in ferromagnets, compare it to the theory of symmetry breaking in…

Quantum Gases · Physics 2015-07-28 David W. Snoke , Andrew J. Daley

Condensation phenomena in particle systems typically occur as one of two distinct types: either as a spontaneous symmetry breaking in a homogeneous system, in which particle interactions enforce condensation in a randomly located site, or…

Probability · Mathematics 2016-09-26 Cécile Mailler , Peter Mörters , Daniel Ueltschi

We consider the interaction of a ferromagnetic spinor Bose-Einstein condensate with a magnetic field gradient. The magnetic field gradient realizes a spin-position coupling that explicitly breaks time-reversal symmetry T and space parity P,…

Systems with long-range interactions, such as self-gravitating clusters and magnetically confined plasmas, do not relax to the usual Boltzmann-Gibbs thermodynamic equilibrium, but become trapped in quasi-stationary states (QSS) the life…

Statistical Mechanics · Physics 2015-06-17 Renato Pakter , Bruno Marcos , Yan Levin

We analyze the spontaneous symmetry breaking (SSB) induced by one specific component of a linearly coupled binary Bose-Einstein condensate (BEC). The model is based on linearly coupled Schr\"odinger equations with cubic nonlinearity and…

Quantum Gases · Physics 2022-02-15 Mateus C. P. dos Santos , Wesley B. Cardoso

Spontaneous symmetry breaking originats in quantum mechanical measurement of the relevant observable defining the physical situation, order parameter is the average of this observable. A modification is made on the random-phase postulate…

Quantum Physics · Physics 2008-02-03 Yu Shi

Spontaneous symmetry breaking is a general principle, that constitutes the underlying concept of a vast number of physical phenomena ranging from ferromagnetism and superconductivity in condensed matter physics to the Higgs mechanism in the…

High Energy Physics - Theory · Physics 2015-03-13 Tomas Brauner

In this thesis we study top-condensation models of electroweak symmetry breaking. In particular we investigate a scenario in which the CP symmetry is broken spontaneously due to the same condensates responsible of electroweak symmetry…

High Energy Physics - Phenomenology · Physics 2007-05-23 Cristian Valenzuela

After recalling briefly the connection between spontaneous symmetry breaking and off-diagonal long range order for models of magnets a general proof of spontaneous breaking of gauge symmetry as a consequence of Bose-Einstein Condensation is…

Mathematical Physics · Physics 2009-11-11 Elliott H. Lieb , Robert Seiringer , Jakob Yngvason

We theoretically study harmonically trapped one-dimensional Bose gases (e.g., Li, Na, K, Rb, etc.) with multibands occupied, focusing on effects of higher-energy bands. Combining the Ginzburg-Landau theory with the bosonization techniques,…

Other Condensed Matter · Physics 2008-07-22 Akiyuki Tokuno , Masahiro Sato

With recent developments in high-precision quantum measurements, the question of whether observations of decoherence from spacetime fluctuations are accessible experimentally arises. Here we investigate the dynamics of bound states…

General Relativity and Quantum Cosmology · Physics 2017-06-06 Teodora Oniga , Charles H. -T. Wang