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Seminário conjunto FGE/FMT

Data do Evento: 
13/07/2017 - 14:30 até 17:30

Seminário conjunto entre o Departamento de Física Geral e o Departamento de Física dos Materiais e Mecânica – FGE/FMT

“One-dimensional Bose Gas Driven by a Slow Time-dependent Harmonic Trap”

Prof. Dr. Dragi Karevski (Statistical Physics Group, Faculty of Science, Jean Lamour Institute Vandoeuvre les Nancy Cedex, France).

Dia: 13 de julho, quinta-feira, às 14h30.

Local: Sala de Seminários José Roberto Leite Edifício Alessandro Volta (bloco C).

Abstract:

We consider the unitary time evolution of a one-dimensional cloud of hard-core bosons loaded on a harmonic trap potential which is slowly released in time with a general ramp g(t). After the identification of a typical length scale l(t), related to the time ramp, we focus our attention on the dynamics of the density profile within a first order time-dependent perturbation scheme. In the special case of a linear ramp, we compare the first order predictions to the exact solution obtained through Ermakov-Lewis dynamical invariants. We also obtain an exact analytical solution for a cloud released from a harmonic trap with an amplitude that varies as the inverse of time. In such situation, the typical size of the cloud grows with a power law governed by an exponent that depends continuously on the initial trap frequency. At high enough initial trap amplitude, the exponent acquires an imaginary part that leads to the emergence of a log-periodic modulation of the cloud expansion.

Data de Término: 
13/07/2017 - 14:30

Desenvolvido por IFUSP