40,591 research outputs found
Evidence of spin liquid with hard-core bosons in a square lattice
We show that laser assisted hopping of hard core bosons in a square optical
lattice can be described by an antiferromagnetic - XY model with
tunable ratio of . We numerically investigate the phase diagram of
the - XY model using both the tensor network algorithm for
infinite systems and the exact diagonalization for small clusters and find
strong evidence that in the intermediate region around ,
there is a spin liquid phase with vanishing magnetization and valence bond
orders, which interconnects the Neel state on the side and the
stripe antiferromagnetic phase on the side. This finding
opens up the possibility of studying the exotic spin liquid phase in a
realistic experimental system using ultracold atoms in an optical lattice.Comment: 5 pages, 5 figure
Supersolid and charge density-wave states from anisotropic interaction in an optical lattice
We show anisotropy of the dipole interaction between magnetic atoms or polar
molecules can stabilize new quantum phases in an optical lattice. Using a well
controlled numerical method based on the tensor network algorithm, we calculate
phase diagram of the resultant effective Hamiltonian in a two-dimensional
square lattice - an anisotropic Hubbard model of hard-core bosons with
attractive interaction in one direction and repulsive interaction in the other
direction. Besides the conventional superfluid and the Mott insulator states,
we find the striped and the checkerboard charge density wave states and the
supersolid phase that interconnect the superfluid and the striped solid states.
The transition to the supersolid phase has a mechanism different from the case
of the soft-core Bose Hubbard model.Comment: 5 pages, 5 figures
Topological Bose-Mott Insulators in a One-Dimensional Optical Superlattice
We study topological properties of the Bose-Hubbard model with repulsive
interactions in a one-dimensional optical superlattice. We find that the Mott
insulator states of the single-component (two-component) Bose-Hubbard model
under fractional fillings are topological insulators characterized by a nonzero
charge (or spin) Chern number with nontrivial edge states. For ultracold atomic
experiments, we show that the topological Chern number can be detected through
measuring the density profiles of the bosonic atoms in a harmonic trap.Comment: 5 pages, published versio
Stabilization of the p-wave superfluid state in an optical lattice
It is hard to stabilize the p-wave superfluid state of cold atomic gas in
free space due to inelastic collisional losses. We consider the p-wave Feshbach
resonance in an optical lattice, and show that it is possible to have a stable
p-wave superfluid state where the multi-atom collisional loss is suppressed
through the quantum Zeno effect. We derive the effective Hamiltonian for this
system, and calculate its phase diagram in a one-dimensional optical lattice.
The results show rich phase transitions between the p-wave superfluid state and
different types of insulator states induced either by interaction or by
dissipation.Comment: 5 pages, 5 figure
2-index chiral gauge theories
We undertake a systematic study of the -dimensional -index
chiral gauge theories and investigate their faithful global symmetries and
dynamics. These are a finite set of theories with fermions in the -index
symmetric and anti-symmetric representations, with no fundamentals, and they do
not admit a large- limit. We employ a combination of perturbative and
nonperturbative methods, enabling us to constrain their infrared (IR) phases.
Specifically, we leverage the 't Hooft anomalies associated with continuous and
discrete groups to eliminate a few scenarios. In some cases, the anomalies rule
out the possibility of fermion composites. In other cases, the interplay
between the continuous and discrete anomalies leads to multiple higher-order
condensates, which inevitably form to match the anomalies. Further, we pinpoint
the most probable symmetry-breaking patterns by searching for condensates that
match the full set of anomalies resulting in the smallest number of IR degrees
of freedom. Higher-loop -function analysis suggests that a few theories
may flow to a conformal fixed point.Comment: 40 pages + appendice
2-index chiral gauge theories
We undertake a systematic study of the 4-dimensional SU(N) 2-index chiral gauge theories and investigate their faithful global symmetries and dynamics. These are a finite set of theories with fermions in the 2-index symmetric and anti-symmetric representations, with no fundamentals, and they do not admit a large-N limit. We employ a combination of perturbative and nonperturbative methods, enabling us to constrain their infrared (IR) phases. Specifically, we leverage the ’t Hooft anomalies associated with continuous and discrete groups to eliminate a few scenarios. In some cases, the anomalies rule out the possibility of fermion composites. In other cases, the interplay between the continuous and discrete anomalies leads to multiple higher-order condensates, which inevitably form to match the anomalies. Further, we pinpoint the most probable symmetry-breaking patterns by searching for condensates that match the full set of anomalies resulting in the smallest number of IR degrees of freedom. Higher-loop β-function analysis suggests that a few theories may flow to a conformal fixed point
Noninvertible symmetries and anomalies from gauging -form electric centers
We devise a general method for obtaining -form noninvertible discrete
chiral symmetries in -dimensional and gauge theories with matter in arbitrary representations,
where is a subgroup of the electric -form center symmetry. Our
approach involves placing the theory on a three-torus and utilizing the
Hamiltonian formalism to construct noninvertible operators by introducing
twists compatible with the gauging of . These theories exhibit
electric -form and magnetic -form global symmetries, and their generators
play a crucial role in constructing the corresponding Hilbert space. The
noninvertible operators are demonstrated to project onto specific Hilbert space
sectors characterized by particular magnetic fluxes. Furthermore, when
subjected to twists by the electric -form global symmetry, these surviving
sectors reveal an anomaly between the noninvertible and the -form
symmetries. We argue that an anomaly implies that certain sectors,
characterized by the eigenvalues of the electric symmetry generators, exhibit
multi-fold degeneracies. When we couple these theories to axions, infrared
axionic noninvertible operators inherit the ultraviolet structure of the
theory, including the projective nature of the operators and their anomalies.
We discuss various examples of vector and chiral gauge theories that showcase
the versatility of our approach.Comment: 42 page
Trust as a mediator in the relationship between childhood sexual abuse and IL-6 level in adulthood
Childhood sexual abuse (CSA) has been shown to predict the coupling of depression and inflammation in adulthood. Trust within intimate relationships, a core element in marital relations, has been shown to predict positive physical and mental health outcomes, but the mediating role of trust in partners in the association between CSA and inflammation in adulthood requires further study. The present study aimed to examine the impact of CSA on inflammatory biomarkers (IL-6 and IL-1β) in adults with depression and the mediating role of trust. A cross-sectional survey data set of adults presenting with mood and sleep disturbance was used in the analysis. CSA demonstrated a significant negative correlation with IL-6 level (r = -0.28, p<0. 01) in adults with clinically significant depression, while trust showed a significant positive correlation with IL-6 level (r = 0.36, p < .01). Sobel test and bootstrapping revealed a significant mediating role for trust between CSA and IL-6 level. CSA and trust in partners were revealed to have significant associations with IL-6 level in adulthood. Counterintuitively, the directions of association were not those expected. Trust played a mediating role between CSA and adulthood levels of IL-6. Plausible explanations for these counterintuitive findings are discussed
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