Separation of Time Scales in a Quantum Newton’s Cradle
Rianne van den BergInstitute for Theoretical Physics, University of Amsterdam, Science Park 904, 1098 XH Amsterdam, The NetherlandsB. WoutersInstitute for Theoretical Physics, University of Amsterdam, Science Park 904, 1098 XH Amsterdam, The NetherlandsSebas EliënsInstitute for Theoretical Physics, University of Amsterdam, Science Park 904, 1098 XH Amsterdam, The NetherlandsJacopo De NardisInstitute for Theoretical Physics, University of Amsterdam, Science Park 904, 1098 XH Amsterdam, The NetherlandsRobert KonikCMPMS Department, Brookhaven National Laboratory, Building 734, Upton, New York 11973, USAJean-Sébastien CauxInstitute for Theoretical Physics, University of Amsterdam, Science Park 904, 1098 XH Amsterdam, The Netherlands
2016en
ABI
Аннотация
We provide detailed modeling of the Bragg pulse used in quantum Newton's-cradle-like settings or in Bragg spectroscopy experiments for strongly repulsive bosons in one dimension. We reconstruct the postpulse time evolution and study the time-dependent local density profile and momentum distribution by a combination of exact techniques. We further provide a variety of results for finite interaction strengths using a time-dependent Hartree-Fock analysis and bosonization-refermionization techniques. Our results display a clear separation of time scales between rapid and trap-insensitive relaxation immediately after the pulse, followed by slow in-trap periodic behavior.
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