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Emptiness Formation in Polytropic Quantum Liquids
Hsiu-Chung Yeh, Dimitri M. Gangardt, Alex Kamenev
We study large deviations in interacting quantum liquids with the polytropic equation of state , where is density and is pressure. By solving hydrodynamic equ…
Emptiness Formation Probability in 1D Bose Liquids
Hsiu-Chung Yeh, Alex Kamenev
We study emptiness formation probability (EFP) in interacting 1D Bose liquids. That is the probability that a snapshot of its ground state reveals exactly zero number of particles…
Quantum impurities: from mobile Josephson junctions to depletons
Michael Schecter, Dimitri M. Gangardt, Alex Kamenev
We overview the main features of mobile impurities moving in one-dimensional superfluid backgrounds by modeling it as a mobile Josephson junction, which leads naturally to the peri…
Statistical transmutation in Floquet driven optical lattices
Tigran A. Sedrakyan, Victor M. Galitski, Alex Kamenev
We show that interacting bosons in a periodically-driven two dimensional (2D) optical lattice may effectively exhibit fermionic statistics. The phenomenon is similar to the celebra…
Comment on "Kinetic theory for a mobile impurity in a degenerate Tonks-Girardeau gas"
Michael Schecter, Alex Kamenev, Dimitri M. Gangardt
In a recent paper, arxiv:1402.6362, Gamayun, Lychkovskiy, and Cheianov studied the dynamics of a mobile impurity embedded into a one-dimensional Tonks-Girardeau gas of strongly int…
Phonon-mediated Casimir interaction between mobile impurities in one-dimensional quantum liquids
Michael Schecter, Alex Kamenev
Virtual phonons of a quantum liquid scatter off impurities and mediate a long-range interaction, analogous to the Casimir effect. In one dimension the effect is universal and the i…
Absence of Bose condensation on lattices with moat bands
Tigran A. Sedrakyan, Leonid I. Glazman, Alex Kamenev
We study hard-core bosons on a class of frustrated lattices with the lowest Bloch band having a degenerate minimum along a closed contour, the moat, in the reciprocal space. We sho…
Composite fermion state of spin-orbit coupled bosons
Tigran A. Sedrakyan, Alex Kamenev, Leonid I. Glazman
We consider spinor Bose gas with the isotropic Rashba spin-orbit coupling in 2D. We argue that at low density its groundstate is a composite fermion state with a Chern-Simons gauge…
Forming doublons by a quantum quench
Michael Schecter, Alex Kamenev
Repulsive interactions between particles on a lattice may lead to bound states, so called doublons. Such states may be created by dynamically tuning the interaction strength, e.g.…
Critical velocity of a mobile impurity in one-dimensional quantum liquids
Michael Schecter, Alex Kamenev, Dimitri Gangardt +1
We study the notion of superfluid critical velocity in one spatial dimension. It is shown that for heavy impurities with mass exceeding a critical mass , the disp…
Dynamics and Bloch oscillations of mobile impurities in one-dimensional quantum liquids
Michael Schecter, Dimitri Gangardt, Alex Kamenev
We study dynamics of a mobile impurity moving in a one-dimensional quantum liquid. Such an impurity induces a strong non-linear depletion of the liquid around it. The dispersion re…
Doublon relaxation in the Bose-Hubbard model
A. L. Chudnovskiy, D. M. Gangardt, A. Kamenev
Decay of a high-energy double occupancy state, doublon, in a narrow-band lattice requires creation of a coherent many-particle excitation. This leads to an exponentially long relax…
Quantum decay of dark solitons in one dimensional Bose systems
D. M. Gangardt, A. Kamenev
Unless protected by the exact integrability, solitons are subject to dissipative forces, originating from a thermally fluctuating background. At low enough temperatures backgro…