77 research outputs found
Soliton creation during a Bose-Einstein condensation
We use stochastic Gross-Pitaevskii equation to study dynamics of
Bose-Einstein condensation. We show that cooling into a Bose-Einstein
condensate (BEC) can create solitons with density given by the cooling rate and
by the critical exponents of the transition. Thus, counting solitons left in
its wake should allow one to determine the critical exponents z and nu for a
BEC phase transition. The same information can be extracted from two-point
correlation functions.Comment: 4 pages, 3 figures, improved version to appear in PRL: scalings
discussed more extensively, fitting scheme for determination of z and nu
critical exponents is explaine
Shock waves in ultracold Fermi (Tonks) gases
It is shown that a broad density perturbation in a Fermi (Tonks) cloud takes
a shock wave form in the course of time evolution. A very accurate analytical
description of shock formation is provided. A simple experimental setup for the
observation of shocks is discussed.Comment: approx. 4 pages&figures, minor corrections^2, to be published as a
Letter in Journal of Physics
Dynamics of a quantum quench in an ultra-cold atomic BCS superfluid
We study dynamics of an ultra-cold atomic BCS superfluid driven towards the
BCS superfluid-Fermi liquid quantum critical point by a gradual decrease of the
pairing interaction. We analyze how the BCS superfluid falls out of equilibrium
and show that the non-equilibrium gap and Cooper pair size reflect critical
properties of the transition. We observe three stages of evolution: adiabatic
where the Cooper pair size is inversely proportional to the equilibrium gap,
weakly non-equilibrium where it is inversely proportional to the
non-equilibrium gap, and strongly non-equilibrium where it decouples from both
equilibrium and non-equilibrium gap. These phenomena should stimulate future
experimental characterization of non-equilibrium ultra-cold atomic BCS
superfluids.Comment: 5 pages, 3 figures, to appear in PR
Microscopic physics of quantum self-organisation of optical lattices in cavities
We study quantum particles at zero temperature in an optical lattice coupled
to a resonant cavity mode. The cavity field substantially modifies the particle
dynamics in the lattice, and for strong particle-field coupling leads to a
quantum phase with only every second site occupied. We study the growth of this
new order out of a homogeneous initial distribution for few particles as the
microscopic physics underlying a quantum phase transition. Simulations reveal
that the growth dynamics crucially depends on the initial quantum many-body
state of the particles and can be monitored via the cavity fluorescence.
Studying the relaxation time of the ordering reveals inhibited tunnelling,
which indicates that the effective mass of the particles is increased by the
interaction with the cavity field. However, the relaxation becomes very quick
for large coupling.Comment: 14 pages 6 figure
Atomic Bose and Anderson glasses in optical lattices
An ultra cold atomic Bose gas in an optical lattice is shown to provide an
ideal system for the controlled analysis of disordered Bose lattice gases. This
goal may be easily achieved under the current experimental conditions, by
introducing a pseudo-random potential created by a second additional lattice
or, alternatively, by placing a speckle pattern on the main lattice. We show
that for a non commensurable filling factor, in the strong interaction limit, a
controlled growing of the disorder drives a dynamical transition from
superfluid to Bose-glass phase. Similarly, in the weak interaction limit, a
dynamical transition from superfluid to Anderson-glass phase may be observed.
In both regimes, we show that even very low-intensity disorder-inducing lasers
cause large modifications of the superfluid fraction of the system.Comment: 4 pages, 3 figures. Minor changes. To appear in Phys. Rev. Lett.
(2003
Transport and Entanglement Generation in the Bose-Hubbard Model
We study entanglement generation via particle transport across a
one-dimensional system described by the Bose-Hubbard Hamiltonian. We analyze
how the competition between interactions and tunneling affects transport
properties and the creation of entanglement in the occupation number basis.
Alternatively, we propose to use spatially delocalized quantum bits, where a
quantum bit is defined by the presence of a particle either in a site or in the
adjacent one. Our results can serve as a guidance for future experiments to
characterize entanglement of ultracold gases in one-dimensional optical
lattices.Comment: 14 pages, 6 figure
Winding up superfluid in a torus via Bose Einstein condensation
Phase transitions are usually treated as equilibrium phenomena, which yields telltale universality classes with scaling behavior of relaxation time and healing length. However, in second-order phase transitions relaxation time diverges near the critical point (“critical slowing down”). Therefore, every such transition traversed at a finite rate is a non-equilibrium process. Kibble-Zurek mechanism (KZM) captures this basic physics, predicting sizes of domains – fragments of broken symmetry – and the density of topological defects, long-lived relics of symmetry breaking that can survive long after the transition. To test KZM we simulate Bose-Einstein condensation in a ring using stochastic Gross-Pitaevskii equation and show that BEC formation can spontaneously generate quantized circulation of the newborn condensate. The magnitude of the resulting winding numbers and the time-lag of BEC density growth – both experimentally measurable – follow scalings predicted by KZM. Our results may also facilitate measuring the dynamical critical exponent for the BEC transition
Quantum stability of self-organized atomic insulator-like states in optical resonators
We investigate a paradigm example of cavity quantum electrodynamics with many
body systems: an ultracold atomic gas inside a pumped optical resonator. In
particular, we study the stability of atomic insulator-like states, confined by
the mechanical potential emerging from the cavity field spatial mode structure.
As in open space, when the optical potential is sufficiently deep, the atomic
gas is in the Mott-like state. Inside the cavity, however, the potential
depends on the atomic distribution, which determines the refractive index of
the medium, thus altering the intracavity field amplitude. We derive the
effective Bose-Hubbard model describing the physics of the system in one
dimension and study the crossover between the superfluid -- Mott insulator
quantum states. We determine the regions of parameters where the atomic
insulator states are stable, and predict the existence of overlapping stability
regions corresponding to competing insulator-like states. Bistable behavior,
controlled by the pump intensity, is encountered in the vicinity of the shifted
cavity resonance.Comment: 13 pages, 6 figures. Replaced with revised version. Accepted for
publication in New J. Phys., special issue "Quantum correlations in tailord
matter
Ab initio calculation of the KRb dipole moments
The relativistic configuration interaction valence bond method has been used
to calculate permanent and transition electric dipole moments of the KRb
heteronuclear molecule as a function of internuclear separation. The permanent
dipole moment of the ground state potential is found to be
0.30(2) at the equilibrium internuclear separation with excess negative
charge on the potassium atom. For the potential the dipole moment
is an order of magnitude smaller (1 Cm) In addition, we
calculate transition dipole moments between the two ground-state and
excited-state potentials that dissociate to the K(4s)+Rb(5p) limits. Using this
data we propose a way to produce singlet KRb molecules by a
two-photon Raman process starting from an ultracold mixture of doubly
spin-polarized ground state K and Rb atoms. This Raman process is only allowed
due to relativistic spin-orbit couplings and the absence of gerade/ungerade
selection rules in heteronuclear dimers.Comment: 16 pages, 7 figure
Changes of the topological charge of vortices
We consider changes of the topological charge of vortices in quantum
mechanics by investigating analytical examples where the creation or
annihilation of vortices occurs. In classical hydrodynamics of non-viscous
fluids the Helmholtz-Kelvin theorem ensures that the velocity field circulation
is conserved. We discuss applicability of the theorem in the hydrodynamical
formulation of quantum mechanics showing that the assumptions of the theorem
may be broken in quantum evolution of the wavefunction leading to a change of
the topological charge.Comment: 5 pages, 2 figures, version accepted for publication in J. Phys.
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