Abstract
In this chapter, we discuss the adiabatic limit and the semiclassical limit, and we investigate the commutability between these two limits with a second-quantized two-mode bosonic model. We deduce the adiabatic Berry phase and the classical Hannay angle of an interacting bosonic many-body system , and we discuss the relationship between the quantum Berry phase, the classical Hannay angle, and the mean-field nonlinear geometric phase of this system.
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Liu, J., Li, SC., Fu, LB., Ye, DF. (2018). Quantum-Classical Correspondence of an Interacting Bosonic Many-Body System. In: Nonlinear Adiabatic Evolution of Quantum Systems. Springer, Singapore. https://doi.org/10.1007/978-981-13-2643-1_3
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DOI: https://doi.org/10.1007/978-981-13-2643-1_3
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