Exact ground-state number fluctuations of trapped ideal and interacting fermions
نویسندگان
چکیده
منابع مشابه
Exact ground state number fluctuations of trapped ideal and interacting fermions
We consider a small and fixed number of fermions in an isolated onedimensional trap (microcanonical ensemble). The ground state of the system is defined at T = 0, with the lowest single-particle levels occupied. The number of particles in this ground state fluctuates as a function of excitation energy. By breaking up the energy spectrum into particle and hole sectors, and mapping the problem on...
متن کاملCondensate fluctuations of a trapped, ideal Bose gas.
For a non-self-interacting Bose gas with a fixed, large number of particles confined to a trap, as the ground-state occupation becomes macroscopic, the condensate number fluctuations remain microscopic. However, this is the only significant aspect in which the grand canonical description differs from canonical or microcanonical in the thermodynamic limit. General arguments and estimates includi...
متن کاملLangevin equations for interacting fermions and Cooper-like pairing in trapped one-dimensional fermions
L. I. Plimak, M. J. Collett, and M. K. Olsen Department of Physics, University of Auckland, Private Bag 92019, Auckland, New Zealand Department of Chemical Physics, The Weizmann Institute of Science, 76100 Rechovot, Israel Insituto de Fı́sica, Universidade Federal Fluminense, Boa Viagem 24210-340, Niterói, Rio de Janeiro, Brazil ~Received 30 October 2000; revised manuscript received 30 July 2001...
متن کاملExistence of an incommensurate ground state of interacting spinless fermions in infinite dimensions
We focus on the ground state phase diagram of a system of spinless fermions with repulsion on a hypercubic lattice in the limit of infinite dimensions. Spontaneous symmetry breaking into a charge density wave (CDW) occurs. Using an ansatz for the order parameter which includes the homogeneous, the AB and a large class of incommensurate phases we are able to calculate the phase diagram. It is im...
متن کاملExact diagonalisation of 1-d interacting spinless Fermions
A new method of constructing an infinite set of exact eigenfunctions of 1–d interacting spinless Fermionic systems is derived. Creation and annihilation operators for the interacting system are found and thereby the many–body Hamiltonian is diagonalised. The formalism is applied to several examples. One instance is the theory of Jack polynomials. For the Calogero-Moser-Sutherland Hamiltonian a ...
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: Journal of Physics A: Mathematical and General
سال: 2003
ISSN: 0305-4470
DOI: 10.1088/0305-4470/36/4/308