Quantum Coherence and Bose-Einstein Correlations for Time-Dependent Source
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Quantum Coherence and Bose-Einstein Correlations for Time-Dependent Source Jie Liu · Jiong Cheng · Xiao Li Huang
Received: 24 May 2012 / Accepted: 11 August 2012 / Published online: 25 August 2012 © Springer Science+Business Media, LLC 2012
Abstract Bose-Einstein correlation (BEC) is appropriate conditions quantum coherence which is between two or more bosons. In this paper, we study the coherence of two-boson in accelerating and decelerating expansion source. The two-boson momentum correlation function is given by quantum statistics methods. The conclusion is that the momentum correlation function is a sensitive function of several parameters which includes particles’ momentum, the temperatures and evolution time of system. Keywords Bose-Einstein correlations · Momentum correlation function · Condensation temperature
1 Introduction Many aspects of modern coherence theory are studied in quantum optics and it is introduced in quantum optics by Glauber [1]. It has used to explain the functioning of masers and lasers, and then it has important applications in other fields of physics, such as the origin of important condensed matter phenomena as superconductivity, superfluidity and hadron interferometry [2–5]. The interference between two identical bosons has been discussed in statics source [6, 7]. However, the boson source is usual non-statics in experiments. Our motivation is to study the two-boson coherence with a time-dependent source in 3-D harmonic oscillator model. The coherence of two-boson is described by momentum correlation function C(p, q; T ; t), where p and q are the average momenta and relativistic momenta, p = (p 1 + p 2 )/2, q = p1 + p2 , p 1 and p2 are two-particle momentum; The big T is the temperature of system; The small t is the time of the particle source evolution. The timedependent source is very important for the two-boson correlation, since this condition is J. Liu () · J. Cheng School of Physics and Optoelectronic Technology, Dalian University of Technology, Dalian 116024, China e-mail: [email protected] X.L. Huang School of Physics and Electronic Technology, Liaoning Normal University, Dalian 116029, China
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Int J Theor Phys (2013) 52:1–8
more closer to the actual experiments. In fact, the dynamics of system is such intricate that it is not easy to find an analytical solution in a non-static source, so the result is given by the methods of numerical calculation. The momentum correlation function which expresses the coherence parameter of two-boson is complicated various as the boson’s momentum, the temperatures T and time of the system. We research the time-dependent source which is consists of identical bosons and held together with a 3-D isotropy harmonic oscillator potential at different expansion velocity. This theory model is affected by several different factors η, δ, and θ . The potential can arise approximately from the mean-field potential [6], owing to the interactions generated by other bosons. The paper is organized as follows. In Sect. 2, we introduce the model of
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