2,155 research outputs found
Topology induced anomalous defect production by crossing a quantum critical point
We study the influence of topology on the quench dynamics of a system driven
across a quantum critical point. We show how the appearance of certain edge
states, which fully characterise the topology of the system, dramatically
modifies the process of defect production during the crossing of the critical
point. Interestingly enough, the density of defects is no longer described by
the Kibble-Zurek scaling, but determined instead by the non-universal
topological features of the system. Edge states are shown to be robust against
defect production, which highlights their topological nature.Comment: Phys. Rev. Lett. (to be published
Algebraic Bethe Ansatz for a discrete-state BCS pairing model
We show in detail how Richardson's exact solution of a discrete-state BCS
(DBCS) model can be recovered as a special case of an algebraic Bethe Ansatz
solution of the inhomogeneous XXX vertex model with twisted boundary
conditions: by implementing the twist using Sklyanin's K-matrix construction
and taking the quasiclassical limit, one obtains a complete set of conserved
quantities, H_i, from which the DBCS Hamiltonian can be constructed as a second
order polynomial. The eigenvalues and eigenstates of the H_i (which reduce to
the Gaudin Hamiltonians in the limit of infinitely strong coupling) are exactly
known in terms of a set of parameters determined by a set of on-shell Bethe
Ansatz equations, which reproduce Richardson's equations for these parameters.
We thus clarify that the integrability of the DBCS model is a special case of
the integrability of the twisted inhomogeneous XXX vertex model. Furthermore,
by considering the twisted inhomogeneous XXZ model and/or choosing a generic
polynomial of the H_i as Hamiltonian, more general exactly solvable models can
be constructed. -- To make the paper accessible to readers that are not Bethe
Ansatz experts, the introductory sections include a self-contained review of
those of its feature which are needed here.Comment: 17 pages, 5 figures, submitted to Phys. Rev.
Entanglement convertibility by sweeping through the quantum phases of the alternating bonds chain
We study the entanglement structure and the topological edge states of the
ground state of the spin-1/2 XXZ model with bond alternation. We employ
parity-density matrix renormalization group with periodic boundary conditions.
The finite-size scaling of R\'enyi entropies and are used to
construct the phase diagram of the system. The phase diagram displays three
possible phases: Haldane type (an example of symmetry protected topological
ordered phases), Classical Dimer and N\'eel phases, the latter bounded by two
continuous quantum phase transitions. The entanglement and non-locality in the
ground state are studied and quantified by the entanglement convertibility. We
found that, at small spatial scales, the ground state is not convertible within
the topological Haldane dimer phase. The phenomenology we observe can be
described in terms of correlations between edge states. We found that the
entanglement spectrum also exhibits a distinctive response in the topological
phase: the effective rank of the reduced density matrix displays a specifically
large "susceptibility" in the topological phase. These findings support the
idea that although the topological order in the ground state cannot be detected
by local inspection, the ground state response at local scale can tell the
topological phases apart from the non-topological phases.Comment: Final versio
Determination of ground state properties in quantum spin systems by single qubit unitary operations and entanglement excitation energies
We introduce a method for analyzing ground state properties of quantum many
body systems, based on the characterization of separability and entanglement by
single subsystem unitary operations. We apply the method to the study of the
ground state structure of several interacting spin-1/2 models, described by
Hamiltonians with different degrees of symmetry. We show that the approach
based on single qubit unitary operations allows to introduce {\it
``entanglement excitation energies''}, a set of observables that can
characterize ground state properties, including the quantification of
single-site entanglement and the determination of quantum critical points. The
formalism allows to identify the existence and location of factorization
points, and a purely quantum {\it ``transition of entanglement''} that occurs
at the approach of factorization. This kind of quantum transition is
characterized by a diverging ratio of excitation energies associated to
single-qubit unitary operations.Comment: To appear in Phys. Rev.
Exploring the ferromagnetic behaviour of a repulsive Fermi gas via spin dynamics
Ferromagnetism is a manifestation of strong repulsive interactions between
itinerant fermions in condensed matter. Whether short-ranged repulsion alone is
sufficient to stabilize ferromagnetic correlations in the absence of other
effects, like peculiar band dispersions or orbital couplings, is however
unclear. Here, we investigate ferromagnetism in the minimal framework of an
ultracold Fermi gas with short-range repulsive interactions tuned via a
Feshbach resonance. While fermion pairing characterises the ground state, our
experiments provide signatures suggestive of a metastable Stoner-like
ferromagnetic phase supported by strong repulsion in excited scattering states.
We probe the collective spin response of a two-spin mixture engineered in a
magnetic domain-wall-like configuration, and reveal a substantial increase of
spin susceptibility while approaching a critical repulsion strength. Beyond
this value, we observe the emergence of a time-window of domain immiscibility,
indicating the metastability of the initial ferromagnetic state. Our findings
establish an important connection between dynamical and equilibrium properties
of strongly-correlated Fermi gases, pointing to the existence of a
ferromagnetic instability.Comment: 8 + 17 pages, 4 + 8 figures, 44 + 19 reference
A Comparative Osteometric Analysis of Ohio Hopewell Canid Remains
The topic of prehistoric dogs has seldom been explored in Ohio Hopewell archaeology. Paucity of information, unreliable data, and occasionally irreverent attitudes concerning canid remains in antiquity demonstrate the significance of new approaches to comparative osteometric studies. The purpose of this paper is to describe the canid remains from Site 40, located in Pickaway County, Ohio, and compare them metrically to the four canid specimens from Brown’s Bottom #1, located in Ross County, Ohio, all of which are curated at SUNY Geneseo. Additionally, to maximize the contrast, a comparison is made with the wolf/dog skeleton from the Philo II, Fort Ancient culture site, located in Muskingum County, Ohio, which is also curated at SUNY Geneseo. Precise reconstruction of the fragmented remains of the Site 40 canid, especially those of the cranium, was achieved according to MRM5 standards, facilitating osteometric analysis. The principal osteometric data which are explored statistically are derived from 44 specific measurements as explicitly outlined by WM G. Haag (1948), and others. Data collected from the Site 40 canid remains is expected to align with the Brown’s Bottom #1 canid specimens. If analyses at the magnitude of human remains is conducted, the symbiotic nature of domestic canids’ cooperation with Ohio Hopewell people will be clarified. The interpretation of these data may generate a more holistic understanding of domestic dogs in Ohio Hopewell culture and the Eastern Woodlands in general
Topology induced anomalous defect production by crossing a quantum critical point
We study the influence of topology on the quench dynamics of a system driven
across a quantum critical point. We show how the appearance of certain edge
states, which fully characterise the topology of the system, dramatically
modifies the process of defect production during the crossing of the critical
point. Interestingly enough, the density of defects is no longer described by
the Kibble-Zurek scaling, but determined instead by the non-universal
topological features of the system. Edge states are shown to be robust against
defect production, which highlights their topological nature.Comment: Phys. Rev. Lett. (to be published
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