2,720 research outputs found
Fermi surfaces and Luttinger's theorem in paired fermion systems
We discuss ground state properties of a mixture of two fermion species which
can bind to form a molecular boson. When the densities of the fermions are
unbalanced, one or more Fermi surfaces can appear: we describe the constraints
placed by Luttinger's theorem on the volumes enclosed by these surfaces in such
Bose-Fermi mixtures. We also discuss the nature of the quantum phase
transitions involving changes in the number of Fermi surfaces.Comment: 7 pages with one figure embedded. V2: Minor modifications. Final
version as appeared in prin
Engineering correlation and entanglement dynamics in spin systems
We show that the correlation and entanglement dynamics of spin systems can be
understood in terms of propagation of spin waves. This gives a simple, physical
explanation of the behaviour seen in a number of recent works, in which a
localised, low-energy excitation is created and allowed to evolve. But it also
extends to the scenario of translationally invariant systems in states far from
equilibrium, which require less local control to prepare. Spin-wave evolution
is completely determined by the system's dispersion relation, and the latter
typically depends on a small number of external, physical parameters.
Therefore, this new insight into correlation dynamics opens up the possibility
not only of predicting but also of controlling the propagation velocity and
dispersion rate, by manipulating these parameters. We demonstrate this
analytically in a simple, example system.Comment: 4 pages, 4 figures, REVTeX4 forma
U(1) spin liquids and valence bond solids in a large-N three-dimensional Heisenberg model
We study possible quantum ground states of the Sp(N) generalized Heisenberg
model on a cubic lattice with nearest-neighbor and next-nearest-neighbor
exchange interactions. The phase diagram is obtained in the large-N limit and
fluctuation effects are considered via appropriate gauge theories. In
particular, we find three U(1) spin liquid phases with different short-range
magnetic correlations. These phases are characterized by deconfined gapped
spinons, gapped monopoles, and gapless ``photons''. As N becomes smaller, a
confinement transition from these phases to valence bond solids (VBS) may
occur. This transition is studied by using duality and analyzing the resulting
theory of monopoles coupled to a non-compact dual gauge field; the condensation
of the monopoles leads to VBS phases. We determine the resulting VBS phases
emerging from two of the three spin liquid states. On the other hand, the spin
liquid state near J_1 \approx J_2 appears to be more stable against monopole
condensation and could be a promising candidate for a spin liquid state in real
systems.Comment: revtex file 12 pages, 17 figure
Quantum phases of interacting phonons in ion traps
The vibrations of a chain of trapped ions can be considered, under suitable
experimental conditions, as an ensemble of interacting phonons, whose quantum
dynamics is governed by a Bose--Hubbard Hamiltonian. In this work we study the
quantum phases which appear in this system, and show that thermodynamical
properties, such as critical parameters and critical exponents, can be measured
in experiments with a limited number of ions. Besides that, interacting phonons
in trapped ions offer us the possibility to access regimes which are difficult
to study with ultracold bosons in optical lattices, like models with attractive
or site--dependent phonon-phonon interactions.Comment: 10 page
Entanglement and Quantum Phase Transition Revisited
We show that, for an exactly solvable quantum spin model, a discontinuity in
the first derivative of the ground state concurrence appears in the absence of
quantum phase transition. It is opposed to the popular belief that the
non-analyticity property of entanglement (ground state concurrence) can be used
to determine quantum phase transitions. We further point out that the
analyticity property of the ground state concurrence in general can be more
intricate than that of the ground state energy. Thus there is no one-to-one
correspondence between quantum phase transitions and the non-analyticity
property of the concurrence. Moreover, we show that the von Neumann entropy, as
another measure of entanglement, can not reveal quantum phase transition in the
present model. Therefore, in order to link with quantum phase transitions, some
other measures of entanglement are needed.Comment: RevTeX 4, 4 pages, 1 EPS figures. some modifications in the text.
Submitted to Phys. Rev.
Quantum Disordered Ground States in Frustrated Antiferromagnets with Multiple Ring Exchange Interactions
We present a certain class of two-dimensional frustrated quantum Heisenberg
spin systems with multiple ring exchange interactions which are rigorously
demonstrated to have quantum disordered ground states without magnetic
long-range order. The systems considered in this paper are s=1/2
antiferromagnets on a honeycomb and square lattices, and an s=1 antiferromagnet
on a triangular lattice. We find that for a particular set of parameter values,
the ground state is a short-range resonating valence bond state or a valence
bond crystal state. It is shown that these systems are closely related to the
quantum dimer model introduced by Rokhsar and Kivelson as an effective
low-energy theory for valence bond states.Comment: 6 pages, 4 figure
Scaling of entanglement between separated blocks in spin chains at criticality
We compute the entanglement between separated blocks in certain spin models
showing that at criticality this entanglement is a function of the ratio of the
separation to the length of the blocks and can be written as a product of a
power law and an exponential decay. It thereby interpolates between the
entanglement of individual spins and blocks of spins. It captures features of
correlation functions at criticality as well as the monogamous nature of
entanglement. We exemplify invariant features of this entanglement to
microscopic changes within the same universality class. We find this
entanglement to be invariant with respect to simultaneous scale transformations
of the separation and the length of the blocks. As a corollary, this study
estimates the entanglement between separated regions of those quantum fields to
which the considered spin models map at criticality.Comment: 4 pages, 3 figures; comments welcom
Effect of confinement potential geometry on entanglement in quantum dot-based nanostructures
We calculate the spatial entanglement between two electrons trapped in a
nanostructure for a broad class of confinement potentials, including single and
double quantum dots, and core-shell quantum dot structures.
By using a parametrized confinement potential, we are able to switch from one
structure to the others with continuity and to analyze how the entanglement is
influenced by the changes in the confinement geometry. We calculate the
many-body wave function by `exact' diagonalization of the time independent
Schr\"odinger equation. We discuss the relationship between the entanglement
and specific cuts of the wave function, and show that the wave function at a
single highly symmetric point could be a good indicator for the entanglement
content of the system. We analyze the counterintuitive relationship between
spatial entanglement and Coulomb interaction, which connects maxima (minima) of
the first to minima (maxima) of the latter. We introduce a potential quantum
phase transition which relates quantum states characterized by different
spatial topology. Finally we show that by varying shape, range and strength of
the confinement potential, it is possible to induce strong and rapid variations
of the entanglement between the two electrons. This property may be used to
tailor nanostructures according to the level of entanglement required by a
specific application.Comment: 10 pages, 8 figures and 1 tabl
Antiferromagnetic and spin gap phases of the anisotropic Kondo necklace model
We have studied the effect of anisotropies on the quantum phase transition of
the Kondo necklace model in dimensions D=1, 2 and 3. Both the anisotropy
of the inter-site interaction term and anisotropy of the
on-site Kondo interaction have been included. We use a bond operator method
with constraints implemented in mean field approximation. Starting from the
paramagnetic phase we determine the critical ratio of the quantum
critical point and associated scaling exponents of the Kondo-singlet gap. We
show that in the case of easy-axis type anisotropy a qualitatively
new behavior in comparison to the conventional Kondo necklace model with
(,)=(0,1) appears. We have also obtained the antiferromagnetic
order parameter in the long range ordered phase for .Comment: 12 pages and 9 figures, to appear in PR
Pfaffian-like ground state for 3-body-hard-core bosons in 1D lattices
We propose a Pfaffian-like Ansatz for the ground state of bosons subject to
3-body infinite repulsive interactions in a 1D lattice. Our Ansatz consists of
the symmetrization over all possible ways of distributing the particles in two
identical Tonks-Girardeau gases. We support the quality of our Ansatz with
numerical calculations and propose an experimental scheme based on mixtures of
bosonic atoms and molecules in 1D optical lattices in which this Pfaffian-like
state could be realized. Our findings may open the way for the creation of
non-abelian anyons in 1D systems
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