Effective Hamiltonian and excitation spectrum of harmonically trapped bosons
نویسندگان
چکیده
منابع مشابه
Harmonically Trapped Quantum Gases
We solve the problem of a Bose or Fermi gas in d-dimensions trapped by δ ≤ d mutually perpendicular harmonic oscillator potentials. From the grand potential we derive their thermodynamic functions (internal energy, specific heat, etc.) as well as a generalized density of states. The Bose gas exhibits Bose-Einstein condensation at a nonzero critical temperature Tc if and only if d+ δ > 2, and a ...
متن کاملHarmonically trapped jellium
We discuss the model of a D-dimensional confined electron gas in which the particles are trapped by a harmonic potential. In particular, we study the non-interacting kinetic and exchange energies of finite-size inhomogeneous systems, and compare the resulting Thomas–Fermi and Dirac coefficients with various uniform electron gas paradigms. We show that, in the thermodynamic limit, the properties...
متن کاملHarmonically trapped four-boson system
Four identical spinless bosons with purely attractive two-body short-range interactions and repulsive three-body interactions under external spherically symmetric harmonic confinement are considered. The repulsive three-body potential prevents the formation of deeply bound states with molecular character. The low-energy spectrum with vanishing orbital angular momentum and positive parity for in...
متن کاملCollective Excitations of Harmonically Trapped Ideal Gases
We theoretically study the collective excitations of an ideal gas confined in an isotropic harmonic trap. We give an exact solution to the Boltzmann-Vlasov equation; as expected for a single-component system, the associated mode frequencies are integer multiples of the trapping frequency. We show that the expressions found by the scaling ansatz method are a special case of our solution. Our fin...
متن کاملCoherent Control of Trapped Bosons
We investigate the quantum behavior of a mesoscopic two-boson system produced by number-squeezing ultracold gases of alkali metal atoms. The quantum Poincare maps of the wavefunctions are affected by chaos in those regions of the phase space where the classical dynamics produces features that are comparable to h̄. We also investigate the possibility for quantum control in the dynamics of excitat...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Low Temperature Physics
سال: 2016
ISSN: 1063-777X,1090-6517
DOI: 10.1063/1.4939154