552 research outputs found
Initial-state randomness as a universal source of decoherence
We study time evolution of entanglement between two qubits, which are part of
a larger system, after starting from a random initial product state. We show
that, due to randomness in the initial product state, entanglement is present
only between directly coupled qubits and only for short times. Time dependence
of the entanglement appears essentially independent of the specific hamiltonian
used for time evolution and is well reproduced by a parameter-free two-body
random matrix model.Comment: 8 pages, 6 figure
Light-shift-induced photonic nonlinearities
We propose a new method to produce self- and cross-Kerr photonic
nonlinearities, using light-induced Stark shifts due to the interaction of a
cavity mode with atoms. The proposed experimental set-up is considerably
simpler than in previous approaches, while the strength of the nonlinearity
obtained with a single atom is the same as in the setting based on
electromagnetically induced transparency. Furthermore our scheme can be applied
to engineer effective photonic nonlinear interactions whose strength increases
with the number of atoms coupled to the cavity mode, leading to photon-photon
interactions several orders of magnitude larger than previously considered
possible.Comment: 4 pages, 4 figure
Quantum phase transitions with Photons and Polaritons
We show that a system of polaritons - combined atom and photon excitations -
in an array of coupled cavities, under an experimental set-up usually
considered in electromagnetically induced transparency, is described by the
Bose-Hubbard model. This opens up the possibility of using this system as a
quantum simulator, allowing for the observation of quantum phase transitions
and for the measurement of local properties, such as single site observables.
All the basic building blocks of the proposed setting have already been
achieved experimentally, showing the feasibility of its realization in the near
future.Comment: 7 pages, contribution for the proceedings of the QCMC0
Entanglement and its dynamics in open, dissipative systems
Quantum mechanical entanglement can exist in noisy open quantum systems at
high temperature. A simple mechanism, where system particles are randomly reset
to some standard initial state, can counteract the deteriorating effect of
decoherence, resulting in an entangled steady state far from thermodynamical
equilibrium. We present models for both gas-type systems and for strongly
coupled systems. We point out in which way the entanglement resulting from such
a reset mechanism is different from the entanglement that one can find in
thermal states. We develop master equations to describe the system and its
interaction with an environment, study toy models with two particles (qubits),
where the master equation can often be solved analytically, and finally examine
larger systems with possibly fluctuating particle numbers. We find that in
gas-type systems, the reset mechanism can produce an entangled steady state for
an arbitrary temperature of the environment, while this is not true in strongly
coupled systems. But even then, the temperature range where one can find
entangled steady states is typically much higher with the reset mechanism.Comment: 30 pages, 15 figure
Hot entanglement in a simple dynamical model
How mixed can one component of a bi-partite system be initially and still
become entangled through interaction with a thermalized partner? We address
this question here. In particular, we consider the question of how mixed a
two-level system and a field mode may be such that free entanglement arises in
the course of the time evolution according to a Jaynes-Cummings type
interaction. We investigate the situation for which the two-level system is
initially in mixed state taken from a one-parameter set, whereas the field has
been prepared in an arbitrary thermal state. Depending on the particular choice
for the initial state and the initial temperature of the quantised field mode,
three cases can be distinguished: (i) free entanglement will be created
immediately, (ii) free entanglement will be generated, but only at a later time
different from zero, (iii) the partial transpose of the joint state remains
positive at all times. It will be demonstrated that increasing the initial
temperature of the field mode may cause the joint state to become distillable
during the time evolution, in contrast to a non-distillable state at lower
initial temperatures. We further assess the generated entanglement
quantitatively, by evaluating the logarithmic negativity numerically, and by
providing an analytical upper bound.Comment: 5 pages, 2 figures. Contribution to the proceedings of the
'International Conference on Quantum Information', Oviedo, July 13-18, 2002.
Discusses sudden changes of entanglement properties in a dynamical quantum
mode
Manipulating the quantum information of the radial modes of trapped ions: Linear phononics, entanglement generation, quantum state transmission and non-locality tests
We present a detailed study on the possibility of manipulating quantum
information encoded in the "radial" modes of arrays of trapped ions (i.e., in
the ions' oscillations orthogonal to the trap's main axis). In such systems,
because of the tightness of transverse confinement, the radial modes pertaining
to different ions can be addressed individually. In the first part of the paper
we show that, if local control of the radial trapping frequencies is available,
any linear optical and squeezing operation on the locally defined modes - on
single as well as on many modes - can be reproduced by manipulating the
frequencies. Then, we proceed to describe schemes apt to generate unprecedented
degrees of bipartite and multipartite continuous variable entanglement under
realistic noisy working conditions, and even restricting only to a global
control of the trapping frequencies. Furthermore, we consider the transmission
of the quantum information encoded in the radial modes along the array of ions,
and show it to be possible to a remarkable degree of accuracy, for both
finite-dimensional and continuous variable quantum states. Finally, as an
application, we show that the states which can be generated in this setting
allow for the violation of multipartite non-locality tests, by feasible
displaced parity measurements. Such a demonstration would be a first test of
quantum non-locality for "massive" degrees of freedom (i.e., for degrees of
freedom describing the motion of massive particles).Comment: 21 pages; this paper, presenting a far more extensive and detailed
analysis, completely supersedes arXiv:0708.085
Renormalization algorithm with graph enhancement
We introduce a class of variational states to describe quantum many-body
systems. This class generalizes matrix product states which underly the
density-matrix renormalization group approach by combining them with weighted
graph states. States within this class may (i) possess arbitrarily long-ranged
two-point correlations, (ii) exhibit an arbitrary degree of block entanglement
entropy up to a volume law, (iii) may be taken translationally invariant, while
at the same time (iv) local properties and two-point correlations can be
computed efficiently. This new variational class of states can be thought of as
being prepared from matrix product states, followed by commuting unitaries on
arbitrary constituents, hence truly generalizing both matrix product and
weighted graph states. We use this class of states to formulate a
renormalization algorithm with graph enhancement (RAGE) and present numerical
examples demonstrating that improvements over density-matrix renormalization
group simulations can be achieved in the simulation of ground states and
quantum algorithms. Further generalizations, e.g., to higher spatial
dimensions, are outlined.Comment: 4 pages, 1 figur
Time-reversal frameness and superselection
We show that appropriate superpositions of motional states are a reference
frame resource that enables breaking of time -reversal superselection so that
two parties lacking knowledge about the other's direction of time can still
communicate. We identify the time-reversal reference frame resource states and
determine the corresponding frameness monotone, which connects time-reversal
frameness to entanglement. In contradistinction to other studies of reference
frame quantum resources, this is the first analysis that involves an
antiunitary rather than unitary representation.Comment: 10 p
Arrays of waveguide-coupled optical cavities that interact strongly with atoms
We describe a realistic scheme for coupling atoms or other quantum emitters
with an array of coupled optical cavities. We consider open Fabry-Perot
microcavities coupled to the emitters. Our central innovation is to connect the
microcavities to waveguide resonators, which are in turn evanescently coupled
to each other on a photonic chip to form a coupled cavity chain. In this paper,
we describe the components, their technical limitations and the factors that
need to be determined experimentally. This provides the basis for a detailed
theoretical analysis of two possible experiments to realize quantum squeezing
and controlled quantum dynamics. We close with an outline of more advanced
applications.Comment: 30 pages, 8 figures. Submitted to New Journal of Physic
Long-lived driven solid-state quantum memory
We investigate the performance of inhomogeneously broadened spin ensembles as
quantum memories under continuous dynamical decoupling. The role of the
continuous driving field is two-fold: first, it decouples individual spins from
magnetic noise; second and more important, it suppresses and reshapes the
spectral inhomogeneity of spin ensembles. We show that a continuous driving
field, which itself may also be inhomogeneous over the ensemble, can enhance
the decay of the tails of the inhomogeneous broadening distribution
considerably. This fact enables a spin ensemble based quantum memory to exploit
the effect of cavity protection and achieve a much longer storage time. In
particular, for a spin ensemble with a Lorentzian spectral distribution, our
calculations demonstrate that continuous dynamical decoupling has the potential
to improve its storage time by orders of magnitude for the state-of-art
experimental parameters
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