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Adding a gauge symmetry breaking field -\nu\sqrt{V}(a_0+a_0^*) to the Hamiltonian of some simplified models of an interacting Bose gas we compute the condensate density and the symmetry breaking order parameter in the limit of infinite…

统计力学 · 物理学 2009-11-10 Andras Suto

The interplay between spontaneously broken gauge symmetries and Bose-Einstein condensation has long been controversially discussed in science, since the equation of motions are invariant under phase transformations. Within the present model…

量子气体 · 物理学 2022-05-10 Alexej Schelle

The realisation of Bose-Einstein condensation under grand-canonical conditions has provided the experimental evidence for the simultaneous occurrence of macroscopic fluctuations and phase coherence of the condensate. The observation of…

统计力学 · 物理学 2026-03-10 A. Crisanti , A. Sarracino , M. Zannetti

The spontaneous symmetry breaking in noncommutative $\lambda\Phi^4$ theory has been analyzed by using the formalism of the effective action for composite operators in the Hartree-Fock approximation. It turns out that there is no phase…

高能物理 - 理论 · 物理学 2016-09-06 P. Castorina , D. Zappala'

We study a system of two hardcore bosonic Hubbard models weakly coupled with each other by tunneling. Assuming that the single uncoupled model exhibits off-diagonal long-range order, we prove that the coupled system exhibits spontaneous…

统计力学 · 物理学 2020-01-08 Hal Tasaki

We discuss the phase transition in 3+1 dimensional lambda Phi^4 theory from a very physical perspective. The particles of the symmetric phase (`phions') interact via a hard-core repulsion and an induced, long-range -1/r^3 attraction. If the…

高能物理 - 唯象学 · 物理学 2016-07-01 M. Consoli , P. M. Stevenson

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…

统计力学 · 物理学 2015-05-13 V. I. Yukalov

We examine Bose-Einstein condensation as a form of symmetry breaking in the specific model of the Einstein static universe. We show that symmetry breaking never occursin the sense that the chemical potential $\mu$ never reaches its critical…

高能物理 - 理论 · 物理学 2008-11-26 John D. Smith , David J. Toms

Spontaneous symmetry breaking occurs when the underlying laws of a physical system are symmetric, but the vacuum state chosen by the system is not. The (3+1)d $\phi^4$ theory is relatively simple compared to other more complex theories,…

高能物理 - 理论 · 物理学 2024-01-24 Chen-Te Ma , Yiwen Pan , Hui Zhang

We consider the process of decay of symmetric vacuum state as evaporation of a Bose condensate of physical Higgs particles, defined over asymmetric vacuum state. Energy density of their selfinteraction is identified with cosmological…

天体物理学 · 物理学 2009-11-06 Irina Dymnikova , Maxim Yu. Khlopov

The phenomenon of spontaneous symmetry breaking admits a physical interpretation in terms of the Bose-condensation process of elementary spinless quanta. In a cutoff theory, this leads to a picture of the vacuum as a condensed medium whose…

高能物理 - 理论 · 物理学 2007-05-23 M. Consoli

We investigate the presence of squeezing in the weakly repulsive uniform Bose gas, in both the condensate mode and in the nonzero opposite-momenta mode pairs, using two different variational formulations. We explore the U(1) symmetry…

统计力学 · 物理学 2009-11-11 Masudul Haque , Andrei E. Ruckenstein

We consider the homogeneous Bose gas in the three-dimensional unit torus, where $N$ particles interact via a two-body potential of the form $N^{-1} v(x)$. The system is studied at inverse temperatures of order $N^{-2/3}$, which corresponds…

数学物理 · 物理学 2025-07-29 Andreas Deuchert , Phan Thanh Nam , Marcin Napiorkowski

We explore the dynamics of spontaneous symmetry breaking in a homogeneous system by thermally quenching an atomic gas with short-range interactions through the Bose-Einstein phase transition. Using homodyne matter-wave interferometry to…

量子气体 · 物理学 2015-01-12 Nir Navon , Alexander L. Gaunt , Robert P. Smith , Zoran Hadzibabic

We argue that massless (lambda Phi^4)_4 is "trivial" without being entirely trivial. It has a non-trivial effective potential which leads to spontaneous symmetry breaking, but the particle excitations above the broken vacuum are…

高能物理 - 唯象学 · 物理学 2008-02-03 M. Consoli , P. M. Stevenson

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…

数学物理 · 物理学 2009-11-11 Elliott H. Lieb , Robert Seiringer , Jakob Yngvason

In present paper the gravitational effect of spontaneous symmetry breaking vacuum energy density is investigated by subtracting the flat space-time contribution from the energy in the curved space-time. We found that the remain effective…

广义相对论与量子宇宙学 · 物理学 2015-05-30 Kang Zhou , Rui-Hong Yue , Zhan-Ying Yang , De-Cheng Zou

The Bogoliubov theory is extended to a Bose-Einstein condensation with internal degrees of freedom, realized recently in $^{23}$Na gases where several hyperfine states are simultaneously cooled optically. Starting with a Hamiltonian…

凝聚态物理 · 物理学 2009-10-31 Tetsuo Ohmi , Kazushige Machida

The theory of non-interacting Bose gases is supplemented by a numerical quantum field description with a two-dimensional non-local order parameter that allows the modeling of wave-like atomic correlations and interference effects in the…

量子气体 · 物理学 2025-07-08 Alexej Schelle

We construct an approximate scheme based on the concept of the spontaneous symmetry breakdown, satisfying the Goldstone theorem, for finite volume Bose-Einstein condensed gases in both zero and finite temperature cases. In this paper, we…

强关联电子 · 物理学 2009-11-11 Hiroaki Enomoto , Masahiko Okumura , Yoshiya Yamanaka
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