Density correlations and analog dynamical Casimir emission of Bogoliubov phonons in modulated atomic Bose-Einstein condensates

被引：82
作者：
Carusotto, I. [1 ,2 ]
Balbinot, R. [3 ,4 ]
Fabbri, A. [5 ,6 ]
Recati, A. [1 ,2 ,7 ]
机构：
[1] Univ Trent, CNR, INFM, BEC Ctr, I-38050 Trento, Italy
[2] Univ Trent, Dipartimento Fis, I-38050 Trento, Italy
[3] Univ Bologna, Dipartimento Fis, I-40126 Bologna, Italy
[4] Ist Nazl Fis Nucl, Sez Bologna, I-40126 Bologna, Italy
[5] Univ Valencia, Dept Fis Teor, CSIC, E-46100 Burjassot, Spain
[6] Univ Valencia, CSIC, IFIC, E-46100 Burjassot, Spain
[7] Tech Univ Munich, Dept Phys, D-85748 Garching, Germany
来源：
EUROPEAN PHYSICAL JOURNAL D | 2010年 / 56卷 / 03期
关键词：
ELECTROMAGNETIC-FIELD; MOVING MIRROR; RADIATION; FLUCTUATIONS; QUANTUM; TIME; EVOLUTION; CAVITY; NOISE; GAS;
D O I：
10.1140/epjd/e2009-00314-3
中图分类号：
O43 [光学];
学科分类号：
070207 ; 0803 ;
摘要：
We present a theory of the density correlations that appear in an atomic Bose-Einstein condensate as a consequence of the emission of correlated pairs of Bogoliubov phonons by a time-dependent atom-atom scattering length. This effect can be considered as a condensed matter analog of the dynamical Casimir effect of quantum field theory. Different regimes as a function of the temporal shape of the modulation are identified and a simple physical picture of the phenomenon is discussed. Analytical expressions for the density correlation function are provided for the most significant limiting cases. This theory is able to explain some unexpected features recently observed in numerical studies of analog Hawking radiation from acoustic black holes.
引用
收藏
页码：391 / 404
页数：14
相关论文
共 90 条
[21]  
Cornell E.A., 2009, COMMUNICATION
[22]   RADIATION FROM MOVING MIRRORS AND FROM BLACK-HOLES [J].
DAVIES, PCW ;
FULLING, SA .
PROCEEDINGS OF THE ROYAL SOCIETY OF LONDON SERIES A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, 1977, 356 (1685) :237-257
[23]   Quantum vacuum radiation spectra from a semiconductor microcavity with a time-modulated vacuum rabi frequency [J].
De Liberato, Simone ;
Ciuti, Cristiano ;
Carusotto, Iacopo .
PHYSICAL REVIEW LETTERS, 2007, 98 (10)
[24]  
DELIBERATO S, ARXIV09062706
[25]  
DELSING P, 2008, SOL STAT QUANT INF W
[26]   Observation of phase fluctuations in elongated Bose-Einstein condensates [J].
Dettmer, S ;
Hellweg, D ;
Ryytty, P ;
Arlt, JJ ;
Ertmer, W ;
Sengstock, K ;
Petrov, DS ;
Shlyapnikov, GV ;
Kreutzmann, H ;
Santos, L ;
Lewenstein, M .
PHYSICAL REVIEW LETTERS, 2001, 87 (16) :art. no.-160406
[27]  
DEZAEL FX, 2007, THESIS U PARIS 6
[28]  
DODONOV AV, ARXIV08064035
[29]   Dynamics of collapsing and exploding Bose-Einstein condensates [J].
Donley, EA ;
Claussen, NR ;
Cornish, SL ;
Roberts, JL ;
Cornell, EA ;
Wieman, CE .
NATURE, 2001, 412 (6844) :295-299
[30]  
Durrer R., 2008, The Cosmic Microwave Background
123456789