Engineering Frequency-dependent Superfluidity in Bose-Fermi Mixtures

Abstract

Unconventional superconductivity or superfluidity are among the most exciting and fascinating quantum states in condensed matter physics. Usually these states are characterized by non-trivial spatial symmetry of the pairing order parameter, such as in ${}^{3}He$ and high-$T_c$ cuprates. Besides spatial dependence the order parameter could have unconventional frequency dependence, which is also allowed by Fermi-Dirac statistics. For instance, odd-frequency pairing is an exciting paradigm when discussing exotic superfluidity or superconductivity and is yet to be realized in the experiments. In this paper we propose a symmetry-based method of controlling frequency dependence of the pairing order parameter via manipulating the inversion symmetry of the system. First, a toy model is introduced to illustrate that frequency dependence of the order parameter can be adjusted by controlling the inversion symmetry of the system. Second, taking advantage of the recent rapid developments of shaken optical lattices in ultracold gases, we propose a Bose-Fermi mixture to realize such frequency dependent superfluids. The key idea is introducing the frequency-dependent attraction between Fermions mediated by Bogoliubov phonons with asymmetric dispersion. Our proposal should pave an alternative way for exploring frequency-dependent superconductors or superfluids with cold atoms.

16 pages, 5 figures, comments welcome

References in corpus (9)

• Dynamical control of matter-wave tunneling in periodic potentials
• Energy gaps in high-transition temperature cuprate superconductors
• Quantum computing with alkaline earth atoms
• Negative mass hydrodynamics in a Spin-Orbit--Coupled Bose-Einstein Condensate
• Is Sr2RuO4 a Chiral P-Wave Superconductor?
• Roton-Maxon Excitation Spectrum of Bose Condensates in a Shaken Optical Lattice
• Odd-frequency Superconductivity in Driven Systems
• Stretching p-wave molecules by transverse confinements
• Odd-frequency pairing in a binary mixture of bosonic and fermionic cold atoms

Cited by in corpus (2)

• Pairing properties of an odd-frequency superfluid Fermi gas
• Odd-frequency superfluidity from a particle-number-conserving perspective