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NANOSYSTEMS: PHYSICS, CHEMISTRY, MATHEMATICS, 2017, 8 (1), P. 121–126

Adiabatic cycles in quantum systems with contact interactions

Atushi Tanaka – Department of Physics, Tokyo Metropolitan University, Hachioji, Tokyo 192-0397, Japan; tanakaatushi@tmu.ac.jp
Taksu Cheon – Department of Physics, Tokyo Metropolitan University, Hachioji, Tokyo 192-0397, Japan; taksu.cheon@kochitech.ac.jp

An adiabatic cycle involving the δ-function potential is shown to excite Bose particles confined in a one-dimensional box. We consider a cycle, during which a wall described by a δ-potential is applied and its strength and position are slowly varied. When the system is initially prepared in the equilibrium ground state, the adiabatic cycle brings all bosons into the first excited one-particle state, leaving the system in a non-equilibrium state. The absorbed energy during the cycle is proportional to the number of bosons.

Keywords: Bose particles, adiabatic cycle, δ-function potential, boson.

PACS 03.65.-w, 03.65.Vf,02.40.Pc

DOI 10.17586/2220-8054-2017-8-1-121-126

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