Quench dynamics as a probe of quantum criticality (2009)
Quantum critical points of many-body systems can be characterized by studying response of the ground-state wave function to the change of the external parameter, encoded in the ground-state fidelity...
Adiabatic nonlinear probes of one-dimensional Bose gases (2008)
De Grandi, C., Barankov, R. A., Polkovnikov, A.
We discuss two complementary problems: adiabatic loading of one-dimensional bosons into an optical lattice and merging two one-dimensional Bose systems. Both problems can be mapped to the sine-Gordon...
Excitation of the dissipationless Higgs mode in a fermionic condensate (2007)
Barankov, R. A., Levitov, L. S.
The amplitude mode of a fermionic superfluid, analogous to the Higgs Boson, becomes undamped in the strong coupling regime when its frequency is pushed inside the BCS energy gap. We argue that this...
Coexistence of superfluid and Mott phases of lattice bosons (2006)
Barankov, R. A., Lannert, C., Vishveshwara, S.
Recent experiments on strongly-interacting bosons in optical lattices have revealed the co-existence of spatially-separated Mott-insulating and number-fluctuating phases. The description of this...
Synchronization in the BCS Pairing Dynamics as a Critical Phenomenon (2006)
Barankov, R. A., Levitov, L. S.
Fermi gas with time-dependent pairing interaction hosts several different dynamical states. Coupling between the collective BCS pairing mode and individual Cooper pair states can make the latter...
Dynamical Selection in Emergent Fermionic Pairing (2005)
Barankov, R. A., Levitov, L. S.
We consider evolution of a Fermi gas in the presence of a time-dependent BCS interaction. The pairing amplitude in the emergent BCS state is found to be an oscillatory function of time with...
Dynamical projection of atoms to Feshbach molecules at strong coupling (2005)
Barankov, R. A., Levitov, L. S.
The dynamical atom/molecule projection, recently used to probe fermion pairing, is fast compared to collective fermion times, but slow on the Feshbach resonance width scale. Theory of...
Atom-molecule coexistence and collective dynamics near a Feshbach resonance of cold fermions (2004)
Barankov, R. A., Levitov, L. S.
Degenerate Fermi gas interacting with molecules near Feshbach resonance is unstable with respect to formation of a mixed state in which atoms and molecules coexist as a coherent superposition. Theory...
Solitons and Rabi Oscillations in a Time-Dependent BCS Pairing Problem (2003)
Barankov, R A, Levitov, L S, Spivak, B Z
Motivated by recent efforts to achieve cold fermions pairing near a Feshbach resonance, we consider the dynamics of formation of the Bardeen-Cooper-Schrieffer (BCS) state. At times shorter than the...
Dissipative Dynamics of a Josephson Junction In the Bose-Gases (2002)
Barankov, R. A., Burmistrov, S. N.
The dissipative dynamics of a Josephson junction in the Bose-gases is considered within the framework of the model of a tunneling Hamiltonian. The effective action which describes the dynamics of the...
Boundary of two mixed Bose-Einstein condensates (2001)
The boundary of two mixed Bose-Einstein condensates interacting repulsively was considered in the case of spatial separation at zero temperature. Analytical expressions for density distribution of...