TY - JOUR
T1 - One-dimensional bosons in three-dimensional traps
AU - Lieb, Elliott H.
AU - Seiringer, Robert
AU - Yngvason, Jakob
PY - 2003
Y1 - 2003
N2 - Recent experimental and theoretical work has indicated conditions in which a trapped, low density Bose gas ought to behave like the 1D delta-function Bose gas solved by Lieb and Liniger. Up until now, the theoretical arguments have been based on variational/perturbative ideas or numerical investigations. There are four parameters: density, transverse and longitudinal dimensions, and scattering length. In this paper we explicate five parameter regions in which various types of 1D or 3D behavior occur in the ground state. Our treatment is based on a rigorous analysis of the many-body Schrödinger equation.
AB - Recent experimental and theoretical work has indicated conditions in which a trapped, low density Bose gas ought to behave like the 1D delta-function Bose gas solved by Lieb and Liniger. Up until now, the theoretical arguments have been based on variational/perturbative ideas or numerical investigations. There are four parameters: density, transverse and longitudinal dimensions, and scattering length. In this paper we explicate five parameter regions in which various types of 1D or 3D behavior occur in the ground state. Our treatment is based on a rigorous analysis of the many-body Schrödinger equation.
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U2 - 10.1103/PhysRevLett.91.150401
DO - 10.1103/PhysRevLett.91.150401
M3 - Article
C2 - 14611451
AN - SCOPUS:0942277916
SN - 0031-9007
VL - 91
JO - Physical review letters
JF - Physical review letters
IS - 15
ER -