Quantum Ripples Over a Semiclassical Shock

被引:49
作者
Bettelheim, Eldad [1 ]
Glazman, Leonid [2 ]
机构
[1] Hebrew Univ Jerusalem, Racah Inst Phys, IL-91904 Jerusalem, Israel
[2] Yale Univ, Dept Phys, New Haven, CT 06520 USA
基金
美国国家科学基金会; 以色列科学基金会;
关键词
INTERACTING BOSE-GAS;
D O I
10.1103/PhysRevLett.109.260602
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
The evolution of an initially smooth spatial inhomogeneity in the density of a one-dimensional Fermi gas is well described by classical mechanics. The classical evolution leads to the formation of a shock wave: the density develops kinks in its coordinate dependence. We show that quantum corrections to the shock wave produce density ripples which run off the kinks. Despite their quantum origin, the amplitude and period of the ripples are expressed only in terms of classical objects derived from a smooth density profile. DOI: 10.1103/PhysRevLett.109.260602
引用
收藏
页数:5
相关论文
共 19 条
[1]  
[Anonymous], 2004, INT SERIES MONOGRAPH
[2]   Nonlinear quantum shock waves in fractional quantum hall edge states [J].
Bettelheim, E. ;
Abanov, Alexander G. ;
Wiegmann, P. .
PHYSICAL REVIEW LETTERS, 2006, 97 (24)
[3]   Universal Fermi distribution of semiclassical nonequilibrium Fermi states [J].
Bettelheim, Eldad ;
Wiegmann, Paul B. .
PHYSICAL REVIEW B, 2011, 84 (08)
[4]   Quantum Shock Waves and Domain Walls in the Real-Time Dynamics of a Superfluid Unitary Fermi Gas [J].
Bulgac, Aurel ;
Luo, Yuan-Lung ;
Roche, Kenneth J. .
PHYSICAL REVIEW LETTERS, 2012, 108 (15)
[5]   Observation of quantum shock waves created with ultra-compressed slow light pulses in a Bose-Einstein condensate [J].
Dutton, Z ;
Budde, M ;
Slowe, C ;
Hau, LV .
SCIENCE, 2001, 293 (5530) :663-668
[6]   LUTTINGER LIQUID THEORY OF ONE-DIMENSIONAL QUANTUM FLUIDS .1. PROPERTIES OF THE LUTTINGER MODEL AND THEIR EXTENSION TO THE GENERAL 1D INTERACTING SPINLESS FERMI GAS [J].
HALDANE, FDM .
JOURNAL OF PHYSICS C-SOLID STATE PHYSICS, 1981, 14 (19) :2585-2609
[7]   Dispersive and classical shock waves in Bose-Einstein condensates and gas dynamics [J].
Hoefer, M. A. ;
Ablowitz, M. J. ;
Coddington, I. ;
Cornell, E. A. ;
Engels, P. ;
Schweikhard, V. .
PHYSICAL REVIEW A, 2006, 74 (02)
[8]  
Hunyadi V, 2004, PHYS REV E, V69, DOI 10.1103/PhysRevE.69.066103
[9]   One-dimensional quantum liquids: Beyond the Luttinger liquid paradigm [J].
Imambekov, Adilet ;
Schmidt, Thomas L. ;
Glazman, Leonid I. .
REVIEWS OF MODERN PHYSICS, 2012, 84 (03) :1253-1306
[10]   Universal Theory of Nonlinear Luttinger Liquids [J].
Imambekov, Adilet ;
Glazman, Leonid I. .
SCIENCE, 2009, 323 (5911) :228-231