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Title: Criterion for Bose-Einstein condensation in a harmonic trap in the case with attractive interactions

Abstract

Using a model many-body wave function I analyze the standard criterion for Bose-Einstein condensation and its relation to coherence properties of the system. I pay special attention to an attractive condensate under such a condition that a characteristic length scale of the spatial extension of its center of mass differs significantly from length scales of relative coordinates. I show that although no interference fringes are produced in the two-slit Young interference experiment performed on this system, fringes of a high visibility can be observed in a conditional simultaneous detection of two particles.

Authors:
 [1]
  1. Instytut Fizyki, Polska Akademia Nauk, Aleja Lotnikow 32/46, 02-668 Warsaw (Poland)
Publication Date:
OSTI Identifier:
20974620
Resource Type:
Journal Article
Resource Relation:
Journal Name: Physical Review. A; Journal Volume: 73; Journal Issue: 2; Other Information: DOI: 10.1103/PhysRevA.73.023603; (c) 2006 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; BOSE-EINSTEIN CONDENSATION; CENTER-OF-MASS SYSTEM; CONDENSATES; DETECTION; INTERACTIONS; INTERFERENCE; MANY-BODY PROBLEM; PARTICLES; TRAPS; WAVE FUNCTIONS

Citation Formats

Gajda, Mariusz. Criterion for Bose-Einstein condensation in a harmonic trap in the case with attractive interactions. United States: N. p., 2006. Web. doi:10.1103/PHYSREVA.73.023603.
Gajda, Mariusz. Criterion for Bose-Einstein condensation in a harmonic trap in the case with attractive interactions. United States. doi:10.1103/PHYSREVA.73.023603.
Gajda, Mariusz. Wed . "Criterion for Bose-Einstein condensation in a harmonic trap in the case with attractive interactions". United States. doi:10.1103/PHYSREVA.73.023603.
@article{osti_20974620,
title = {Criterion for Bose-Einstein condensation in a harmonic trap in the case with attractive interactions},
author = {Gajda, Mariusz},
abstractNote = {Using a model many-body wave function I analyze the standard criterion for Bose-Einstein condensation and its relation to coherence properties of the system. I pay special attention to an attractive condensate under such a condition that a characteristic length scale of the spatial extension of its center of mass differs significantly from length scales of relative coordinates. I show that although no interference fringes are produced in the two-slit Young interference experiment performed on this system, fringes of a high visibility can be observed in a conditional simultaneous detection of two particles.},
doi = {10.1103/PHYSREVA.73.023603},
journal = {Physical Review. A},
number = 2,
volume = 73,
place = {United States},
year = {Wed Feb 15 00:00:00 EST 2006},
month = {Wed Feb 15 00:00:00 EST 2006}
}