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Amplitude Squeezing of a Weakly Interacting Bose System with Spontaneous U(1) Symmetry Breaking

Jiao Zhi-Yong, Zhao-Xian Yu, Ji‐Suo Wang

We study the quantum fluctuations and the amplitude squeezing of a weakly interacting Bose system with spontaneous U(1) symmetry breaking. It is found that this system can exhibit amplitude squeezing.

Communications in Theoretical PhysicsDec 1, 20070 citations

Dynamics of the phase transition in the weakly interacting Bose gas

Imre Kondor, P. Szépfalusy

Physics Letters ANov 1, 19704 citations

Quantum Phase Transitions in Interacting Bose Systems

Gergely T. Zimányi

Springer eBooksJan 1, 19950 citations

Spontaneous U(1) Symmetry Breaking in Coupled Bose System

Ying Wang, Jinrong Xu, Li Chen +1 more

Adding a U(1) symmetry breaking term to Bogoliubov's truncated Hamiltonian H B for a weakly interacting coupled Bose system, by using the mean-field approximation rather than the c-number approximation, we find that, via a Feshbach resonance at zero temperature, the states of the coupled Bose system are generalized SU(1,1) ⊗ SU(1,1) coherent states. The Bose—Einstein condensation occurs in response to the spontaneous U(1) symmetry breaking.

Communications in Theoretical PhysicsJun 1, 20110 citations

Topics in phase transitions in Bose systems

Vivek B. Shenoy

Jul 1, 19980 citations

Spontaneous U(1) symmetry breaking and Bose–Einstein condensation

Qian Feng, HUANG HONG-BIN, Qi Guan-Xiao +1 more

Based on Bogoliubov's truncated Hamiltonian H B for a weakly interacting Bose system, and adding a U(1) symmetry breaking term V 1/2 (λ a 0 +λ * a 0 + ) to H B , we show by using the coherent state theory and the mean-field approximation rather than the c-number approximations, that the Bose–Einstein condensation(BEC) occurs if and only if the U(1) symmetry of the system is spontaneously broken. The real ground state energy and the justification of the Bogoliubov c-number substitution are given by solving the Schrödinger eigenvalue equation and using the self-consistent condition.Based on Bogoliubov's truncated Hamiltonian H B for a weakly interacting Bose system, and adding a U(1) symmetry breaking term V 1/2 (λ a 0 +λ * a 0 + ) to H B , we show by using the coherent state theory and the mean-field approximation rather than the c-number approximations, that the Bose–Einstein condensation(BEC) occurs if and only if the U(1) symmetry of the system is spontaneously broken. The real ground state energy and the justification of the Bogoliubov c-number substitution are given by solving the Schrödinger eigenvalue equation and using the self-consistent condition.

Chinese PhysicsJul 1, 20066 citations

Phase of a Weakly Interacting Bose System with a Time Spontaneous U(1) Symmetry Breaking

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