4,374 research outputs found
Lower limit on the achievable temperature in resonator-based sideband cooling
A resonator can be effectively used as a cooler for another linear oscillator
with a much smaller frequency. A huge cooling effect, which could be used to
cool a mechanical oscillator below the energy of quantum fluctuations, has been
predicted by several authors. However, here we show that there is a lower limit
T* on the achievable temperature that was not considered in previous works and
can be higher than the quantum limit in realistic experimental realizations. We
also point out that the decay rate of the resonator, which previous studies
stress should be small, must be larger than the decay rate of the cooled
oscillator for effective cooling.Comment: 6 pages, 4 figures, uses psfra
Radiative coupling and weak lasing of exciton-polariton condensates
In spite of having finite life-time exciton-polaritons in microcavities are
known to condense at strong enough pumping of the reservoir. We present an
analytical theory of such Bose-condensates on a set of localized one-particle
states: condensation centers. To understand physics of these arrays one has to
supplement the Josephson coupling by the radiative coupling caused by the
interference of the light emitted by different centers. Combination of these
couplings with the one-site interaction between the bosons leads to a rich
nonlinear dynamics. In particular, a new regime of radiation appears. We call
it weak lasing: the centers have macroscopic occupations and radiate
coherently, but the coupling alone is sufficient for stabilization. The system
can have several stable states and switch between them. Moreover, the time
reversal symmetry in this regime is, as a rule, broken. A number of existing
experimental puzzles find natural interpretation in the framework of this
theory.Comment: 5 pages, 2 figure
Unconditional two-mode squeezing of separated atomic ensembles
We propose schemes for the unconditional preparation of a two-mode squeezed
state of effective bosonic modes realized in a pair of atomic ensembles
interacting collectively with optical cavity and laser fields. The scheme uses
Raman transitions between stable atomic ground states and under ideal
conditions produces pure entangled states in the steady state. The scheme works
both for ensembles confined within a single cavity and for ensembles confined
in separate, cascaded cavities.Comment: 4 pages, 2 figure
Thermal Properties of Interacting Bose Fields and Imaginary-Time Stochastic Differential Equations
Matsubara Green's functions for interacting bosons are expressed as classical
statistical averages corresponding to a linear imaginary-time stochastic
differential equation. This makes direct numerical simulations applicable to
the study of equilibrium quantum properties of bosons in the non-perturbative
regime. To verify our results we discuss an oscillator with quartic
anharmonicity as a prototype model for an interacting Bose gas. An analytic
expression for the characteristic function in a thermal state is derived and a
Higgs-type phase transition discussed, which occurs when the oscillator
frequency becomes negative.Comment: Published versio
Helix or Coil? Fate of a Melting Heteropolymer
We determine the probability that a partially melted heteropolymer at the
melting temperature will either melt completely or return to a helix state.
This system is equivalent to the splitting probability for a diffusing particle
on a finite interval that moves according to the Sinai model. When the initial
fraction of melted polymer is f, the melting probability fluctuates between
different realizations of monomer sequences on the polymer. For a fixed value
of f, the melting probability distribution changes from unimodal to a bimodal
as the strength of the disorder is increased.Comment: 4 pages, 5 figure
Decoherence of number states in phase-sensitive reservoirs
The non-unitary evolution of initial number states in general Gaussian
environments is solved analytically. Decoherence in the channels is quantified
by determining explicitly the purity of the state at any time. The influence of
the squeezing of the bath on decoherence is discussed. The behavior of coherent
superpositions of number states is addressed as well.Comment: 5 pages, 2 figures, minor changes, references adde
Numerical Methods for Stochastic Differential Equations
Stochastic differential equations (sdes) play an important role in physics
but existing numerical methods for solving such equations are of low accuracy
and poor stability. A general strategy for developing accurate and efficient
schemes for solving stochastic equations in outlined here. High order numerical
methods are developed for integration of stochastic differential equations with
strong solutions. We demonstrate the accuracy of the resulting integration
schemes by computing the errors in approximate solutions for sdes which have
known exact solutions
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