The two-body problem of ultra-cold atoms in a harmonic trap

被引:26
|
作者
Shea, Patrick [1 ]
van Zyl, Brandon P. [2 ]
Bhaduri, Rajat K. [3 ]
机构
[1] Dalhousie Univ, Dept Phys & Atmospher Sci, Halifax, NS B3H 3J5, Canada
[2] St Francis Xavier Univ, Dept Phys, Antigonish, NS B2G 2W5, Canada
[3] McMaster Univ, Dept Phys & Astron, Hamilton, ON L8S 4M1, Canada
基金
加拿大自然科学与工程研究理事会;
关键词
boson systems; harmonic oscillators; physics education; radiation pressure; SCATTERING;
D O I
10.1119/1.3013812
中图分类号
G40 [教育学];
学科分类号
040101 ; 120403 ;
摘要
We consider two bosonic atoms interacting with a short-range potential and trapped in a spherically symmetric harmonic oscillator. The problem is exactly solvable and is relevant for the study of ultra-cold atoms. We show that the energy spectrum is universal, irrespective of the shape of the interaction potential, provided its range is much smaller than the oscillator length.
引用
收藏
页码:511 / 515
页数:5
相关论文
共 50 条
  • [21] An optical frequency standard with cold and ultra-cold calcium atoms
    Riehle, F
    Degenhardt, C
    Lisdat, C
    Wilpers, G
    Schnatz, H
    Binnewies, T
    Stoehr, H
    Sterr, U
    ASTROPHYSICS, CLOCKS AND FUNDAMENTAL CONSTANTS, 2004, 648 : 229 - 244
  • [22] Two-body loss rates for reactive collisions of cold atoms
    Cop, C.
    Walser, R.
    PHYSICAL REVIEW A, 2018, 97 (01)
  • [23] Testing Quantum Mechanics with an Ultra-Cold Particle Trap
    Riggs, Peter J.
    UNIVERSE, 2021, 7 (04)
  • [24] Polarization in collisions between ultra-cold sodium atoms
    Heideman, HGM
    van der Straten, P
    Amelink, A
    CORRELATIONS, POLARIZATION, AND IONIZATION IN ATOMIC SYSTEMS, 2002, 604 : 217 - 222
  • [25] Nanometric Surface Probing through Ultra-Cold Atoms
    Khan, Murtaza Ali
    Schaefer, Florian
    Pernice, Wolfram H. P.
    Cataliotti, Francesco S.
    NONLINEAR OPTICS AND ITS APPLICATIONS VIII; AND QUANTUM OPTICS III, 2014, 9136
  • [26] Stückelberg-interferometry with ultra-cold atoms
    P. Plötz
    S. Wimberger
    The European Physical Journal D, 2011, 65 : 199 - 205
  • [27] Superfluid instability in ultra-cold gas of fermionic atoms with attractive potential in a one-dimensional trap
    Schlottmann, P.
    Zvyagin, A. A.
    17TH INTERNATIONAL CONFERENCE ON RECENT PROGRESS IN MANY-BODY THEORIES (MBT17), 2014, 529
  • [28] The two-body problem
    DeFrancesco, L
    Wilkinson, D
    SCIENTIST, 1999, 13 (08): : 21 - 23
  • [29] OPTIMIZATION AND NEW APPLICATIONS OF A MAGNETIC TRAP FOR ULTRA-COLD NEUTRONS
    Berman, G. P.
    Gorshkov, V. N.
    Zavalov, A. M.
    Tsifrinovich, V. I.
    UKRAINIAN JOURNAL OF PHYSICS, 2009, 54 (1-2): : 8 - 13
  • [30] Optimization and new applications of a magnetic trap for ultra-cold neutrons
    Berman, G. P.
    Gorshkov, V. N.
    Tsifrinovich, V. I.
    NUCLEAR INSTRUMENTS & METHODS IN PHYSICS RESEARCH SECTION A-ACCELERATORS SPECTROMETERS DETECTORS AND ASSOCIATED EQUIPMENT, 2008, 592 (03): : 385 - 392