Emergent ballistic transport of Bose–Fermi mixtures in one dimension

Wang，Sheng1,2; Yin，Xiangguo3; Chen，Yang Yang1,4; Zhang，Yunbo5; Guan，Xi Wen1,6,7

2020-11-01

10.1088/1751-8121/abc128

Journal of Physics A-Mathematical and Theoretical   影响因子和分区

1751-8113

1751-8121

The degenerate Bose–Fermi (BF) mixtures in one dimension present a novel realization of two decoupled Luttinger liquids with bosonic and fermionic degrees of freedom at low temperatures. However, the transport properties of such decoupled Luttinger liquids of charges is little known. Here we report on the transport properties of one-dimensional (1D) BF mixtures with delta-function interactions. The initial state is set up as the semi-infinite halves of two 1D BF mixtures with different temperatures, joined together at the time t = 0 and the junction point x = 0. Using the Bethe ansatz solution, we first rigorously prove the existence of conserved charges for both the bosonic and fermionic degrees of freedom, preserving the Euler-type continuity equations. Applying generalized hydrodynamics, we then analytically obtain the distributions of the densities and currents of the local conserved quantities which solely depend on the ratio ξ = x/t. The left and right moving quasiparticle excitations of the two halves form multiple segmented light-cone hydrodynamics that display ballistic transport of the conserved charge densities and currents in different degrees of freedom. Such profiles reveal a novel dynamical separation of the two Luttinger liquids of fermionic and bosonic atoms in 1D. Our analytical results provide a deep understanding of the role of interaction and quantum statistical effects in quantum transport.

Ballistic transport Bose–Fermi mixture Generalized hydrodynamics Nonequilibrium dynamics Thermodynamic Bethe ansatz

SCI

英语

其他

key NSFC[11534014] ; NSFC[11874393][11674201] ; National Key R&D Program of China[2017YFA0304500]

Physics

Physics, Multidisciplinary ; Physics, Mathematical

WOS:000583081900001

IOP PUBLISHING LTD

2-s2.0-85095846102

Scopus

1.State Key Laboratory of Magnetic Resonance and Atomic and Molecular Physics,Wuhan Institute of Physics and Mathematics,Innovation Academy for Precision Measurement Science and Technology,Chinese Academy of Sciences,Wuhan,430071,China
2.University of Chinese Academy of Sciences,Beijing,100049,China
3.Institute of Theoretical Physics,Shanxi University,Taiyuan,030006,China
4.Shenzhen Institute for Quantum Science and Engineering,Department of Physics,Southern University of Science and Technology,Shenzhen,518055,China
5.Key Laboratory of Optical Field Manipulation of Zhejiang Province,Physics,Department of Zhejiang Sci-Tech University,Hangzhou,310018,China
6.NSFC-SPTP Peng Huanwu Center for Fundamental Theory,Xian,710127,China
7.Department of Theoretical Physics,Research School of Physics and Engineering,Australian National University,Canberra,0200,Australia

Wang，Sheng,Yin，Xiangguo,Chen，Yang Yang,等. Emergent ballistic transport of Bose–Fermi mixtures in one dimension[J]. Journal of Physics A-Mathematical and Theoretical,2020,53(46).

Wang，Sheng,Yin，Xiangguo,Chen，Yang Yang,Zhang，Yunbo,&Guan，Xi Wen.(2020).Emergent ballistic transport of Bose–Fermi mixtures in one dimension.Journal of Physics A-Mathematical and Theoretical,53(46).

Wang，Sheng,et al."Emergent ballistic transport of Bose–Fermi mixtures in one dimension".Journal of Physics A-Mathematical and Theoretical 53.46(2020).