956 research outputs found
Fermionic Atoms in Optical Superlattices
Fermionic atoms in an optical superlattice can realize a very peculiar
Anderson lattice model in which impurities interact with each other through a
discretized set of delocalized levels. We investigate the interplay between
Kondo effect and magnetism under these finite-size features. We find that Kondo
effect can dominate over magnetism depending on the parity of the number of
particles per discretized set. We show how Kondo-induced resonances of
measurable size can be observed through the atomic interference pattern
Quantum nonlocality in the presence of superselection rules and data hiding protocols
We consider a quantum system subject to superselection rules, for which
certain restrictions apply to the quantum operations that can be implemented.
It is shown how the notion of quantum-nonlocality has to be redefined in the
presence of superselection rules: there exist separable states that cannot be
prepared locally and exhibit some form of nonlocality. Moreover, the notion of
local distinguishability in the presence of classical communication has to be
altered. This can be used to perform quantum information tasks that are
otherwise impossible. In particular, this leads to the introduction of perfect
quantum data hiding protocols, for which quantum communication (eventually in
the form of a separable but nonlocal state) is needed to unlock the secret.Comment: 4 page
Optomechanics assisted with a qubit: From dissipative state preparation to many-body physics
We propose and analyze nonlinear optomechanical protocols that can be
implemented by adding a single atom to an optomechanical cavity. In particular,
we show how to engineer the environment in order to dissipatively prepare the
mechanical oscillator in a superposition of Fock states with fidelity close to
one. Furthermore, we discuss how a single atom in a cavity with several
mechanical oscillators can be exploited to realize nonlinear many-body physics
by stroboscopically driving the mechanical oscillators. We show how to prepare
non-classical many-body states by either applying coherent protocols or
engineering dissipation. The analysis of the protocols is carried out using a
perturbation theory for degenerate Liouvillians and numerical tools. Our
results apply to other systems where a qubit is coupled to a mechanical
oscillator via a bosonic mode, e.g., in cavity quantum electromechanics
Master equation approach to optomechanics with arbitrary dielectrics
We present a master equation describing the interaction of light with
dielectric objects of arbitrary sizes and shapes. The quantum motion of the
object, the quantum nature of light, as well as scattering processes to all
orders in perturbation theory are taken into account. This formalism extends
the standard master equation approach to the case where interactions among
different modes of the environment are considered. It yields a genuine quantum
description, including a renormalization of the couplings and decoherence
terms. We apply this approach to analyze cavity cooling of the center-of-mass
mode of large spheres. Furthermore, we derive an expression for the
steady-state phonon numbers without relying on resolved-sideband or bad-cavity
approximations.Comment: 17 pages, 5 figure
Entanglement capabilities of non-local Hamiltonians
We quantify the capability of creating entanglement for a general physical
interaction acting on two qubits. We give a procedure for optimizing the
generation of entanglement. We also show that a Hamiltonian can create more
entanglement if one uses auxiliary systems.Comment: replaced with published version, 4 pages, no figure
Complete Characterization of a Quantum Process: the Two-Bit Quantum Gate
We show how to fully characterize a quantum process in an open quantum
system. We particularize the procedure to the case of a universal two-qubit
gate in a quantum computer. We illustrate the method with a numerical
simulation of a quantum gate in the ion trap quantum computer.Comment: Accepted for publication in Physical Review Letters 08Nov96
(submitted 15Jly96
Linear Stability Analysis of a Levitated Nanomagnet in a Static Magnetic Field: Quantum Spin Stabilized Magnetic Levitation
We theoretically study the levitation of a single magnetic domain nanosphere
in an external static magnetic field. We show that apart from the stability
provided by the mechanical rotation of the nanomagnet (as in the classical
Levitron), the quantum spin origin of its magnetization provides two additional
mechanisms to stably levitate the system. Despite of the Earnshaw theorem, such
stable phases are present even in the absence of mechanical rotation. For large
magnetic fields, the Larmor precession of the quantum magnetic moment
stabilizes the system in full analogy with magnetic trapping of a neutral atom.
For low magnetic fields, the magnetic anisotropy stabilizes the system via the
Einstein-de Haas effect. These results are obtained with a linear stability
analysis of a single magnetic domain rigid nanosphere with uniaxial anisotropy
in a Ioffe-Pritchard magnetic field.Comment: Published version. 10 pages, 4 figures, 3 table
The computational difficulty of finding MPS ground states
We determine the computational difficulty of finding ground states of
one-dimensional (1D) Hamiltonians which are known to be Matrix Product States
(MPS). To this end, we construct a class of 1D frustration free Hamiltonians
with unique MPS ground states and a polynomial gap above, for which finding the
ground state is at least as hard as factoring. By lifting the requirement of a
unique ground state, we obtain a class for which finding the ground state
solves an NP-complete problem. Therefore, for these Hamiltonians it is not even
possible to certify that the ground state has been found. Our results thus
imply that in order to prove convergence of variational methods over MPS, as
the Density Matrix Renormalization Group, one has to put more requirements than
just MPS ground states and a polynomial spectral gap.Comment: 5 pages. v2: accepted version, Journal-Ref adde
Creation of a molecular condensate by dynamically melting a Mott-insulator
We propose creation of a molecular Bose-Einstein condensate (BEC) by loading
an atomic BEC into an optical lattice and driving it into a Mott insulator (MI)
with exactly two atoms per site. Molecules in a MI state are then created under
well defined conditions by photoassociation with essentially unit efficiency.
Finally, the MI is melted and a superfluid state of the molecules is created.
We study the dynamics of this process and photoassociation of tightly trapped
atoms.Comment: minor revisions, 5 pages, 3 figures, REVTEX4, accepted by PRL for
publicatio
Superconducting Vortex Lattices for Ultracold Atoms
We propose and analyze a nanoengineered vortex array in a thin-film type-II
superconductor as a magnetic lattice for ultracold atoms. This proposal
addresses several of the key questions in the development of atomic quantum
simulators. By trapping atoms close to the surface, tools of nanofabrication
and structuring of lattices on the scale of few tens of nanometers become
available with a corresponding benefit in energy scales and temperature
requirements. This can be combined with the possibility of magnetic single site
addressing and manipulation together with a favorable scaling of
superconducting surface-induced decoherence.Comment: Published Version. Manuscript: 5 pages, 3 figures. Supplementary
Information: 11 pages, 7 figure
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