3,033 research outputs found
Recovery of classical chaotic-like behaviour in a quantum three body problem
Recovering trajectories of quantum systems whose classical counterparts display chaotic behaviour has been a subject that has received a lot of interest over the last decade. However, these studies have focused on driven dissipative systems. The relevance and impact of chaotic-like phenomena to quantum systems has been highlighted in recent studies which have shown that quantum chaos is significant in some aspects of quantum computation and information processing. In this paper we study a three body system comprising of identical particles arranged so that the system's classical trajectories exhibit Hamiltonian chaos. Here we show that it is possible to recover very nearly classical-like chaotic trajectories from such a system through an unravelling of the master equation
On open quantum systems, effective Hamiltonians and device characterization
High fidelity models, which support accurate device characterization and
correctly account for environmental effects, are crucial to the engineering of
scalable quantum technologies. As it ensures positivity of the density matrix,
one preferred model for open systems describes the dynamics with a master
equation in Lindblad form. The Linblad operators are rarely derived from first
principles, resulting in dynamical models which miss those additional terms
that must generally be added to bring the master equation into Lindblad form,
together with concomitant other terms that must be assimilated into an
effective Hamiltonian. In first principles derivations such additional terms
are often cancelled (countered), frequently in an ad hoc manner. In the case of
a Superconducting Quantum Interference Device (SQUID) coupled to an Ohmic bath,
the resulting master equation implies the environment has a significant impact
on the system's energy. We discuss the prospect of keeping or cancelling this
impact; and note that, for the SQUID, measuring the magnetic susceptibility
under control of the capacitive coupling strength and the externally applied
flux, results in experimentally measurable differences between models. If this
is not done correctly, device characterization will be prone to systemic
errors.Comment: 5 pages, 3 figure
Guidance and Control in a Josephson Charge Qubit
In this paper we propose a control strategy based on a classical guidance law
and consider its use for an example system: a Josephson charge qubit. We
demonstrate how the guidance law can be used to attain a desired qubit state
using the standard qubit control fields.Comment: 9 pages, 5 figure
Signatures of the collapse and revival of a spin Schr\"{o}dinger cat state in a continuously monitored field mode
We study the effects of continuous measurement of the field mode during the
collapse and revival of spin Schr\"{o}dinger cat states in the Tavis-Cummings
model of N qubits (two-level quantum systems) coupled to a field mode. We show
that a compromise between relatively weak and relatively strong continuous
measurement will not completely destroy the collapse and revival dynamics while
still providing enough signal-to-noise resolution to identify the signatures of
the process in the measurement record. This type of measurement would in
principle allow the verification of the occurrence of the collapse and revival
of a spin Schr\"{o}dinger cat state.Comment: 5 pages, 2 figure
Nonlinear backreaction in a quantum mechanical SQUID
In this paper we discuss the coupling between a quantum mechanical
superconducting quantum interference device (SQUID) and an applied static
magnetic field. We demonstrate that the backreaction of a SQUID on the applied
field can interfere with the ability to bias the SQUID at values of the static
(DC) magnetic flux at, or near to, transitions in the quantum mechanical SQUID.Comment: 9 pages, to be published in Phys. Rev.
Non-linear dynamics, entanglement and the quantum-classical crossover of two coupled SQUID rings
We explore the quantum-classical crossover of two coupled, identical,
superconducting quantum interference device (SQUID) rings. We note that the
motivation for this work is based on a study of a similar system comprising two
coupled Duffing oscillators. In that work we showed that the entanglement
characteristics of chaotic and periodic (entrained) solutions differed
significantly and that in the classical limit entanglement was preserved only
in the chaotic-like solutions. However, Duffing oscillators are a highly
idealised toy model. Motivated by a wish to explore more experimentally
realisable systems we now extend our work to an analysis of two coupled SQUID
rings. We observe some differences in behaviour between the system that is
based on SQUID rings rather than on Duffing oscillators. However, we show that
the two systems share a common feature. That is, even when the SQUID ring's
trajectories appear to follow (semi) classical orbits entanglement persists.Comment: 9 pages, 4 figures. Published as part of the proceedings of the 32nd
International Workshop on Condensed Matter Theories (CMT32) Loughborough
University, 2008 (invited paper
Cool for Cats
The iconic Schr\"odinger's cat state describes a system that may be in a
superposition of two macroscopically distinct states, for example two clearly
separated oscillator coherent states. Quite apart from their role in
understanding the quantum classical boundary, such states have been suggested
as offering a quantum advantage for quantum metrology, quantum communication
and quantum computation. As is well known these applications have to face the
difficulty that the irreversible interaction with an environment causes the
superposition to rapidly evolve to a mixture of the component states in the
case that the environment is not monitored. Here we show that by engineering
the interaction with the environment there exists a large class of systems that
can evolve irreversibly to a cat state. To be precise we show that it is
possible to engineer an irreversible process so that the steady state is close
to a pure Schr\"odinger's cat state by using double well systems and an
environment comprising two-photon (or phonon) absorbers. We also show that it
should be possible to prolong the lifetime of a Schr\"odinger's cat state
exposed to the destructive effects of a conventional single-photon decohering
environment. Our protocol should make it easier to prepare and maintain
Schr\"odinger cat states which would be useful in applications of quantum
metrology and information processing as well as being of interest to those
probing the quantum to classical transition.Comment: 10 pages, 7 figures. Significantly updated version with supplementary
informatio
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