4,522 research outputs found
Entanglement entropy of (3+1)D topological orders with excitations
Excitations in (3+1)D topologically ordered phases have very rich structures.
(3+1)D topological phases support both point-like and string-like excitations,
and in particular the loop (closed string) excitations may admit knotted and
linked structures. In this work, we ask the question how different types of
topological excitations contribute to the entanglement entropy, or
alternatively, can we use the entanglement entropy to detect the structure of
excitations, and further obtain the information of the underlying topological
orders? We are mainly interested in (3+1)D topological orders that can be
realized in Dijkgraaf-Witten gauge theories, which are labeled by a finite
group and its group 4-cocycle up to group
automorphisms. We find that each topological excitation contributes a universal
constant to the entanglement entropy, where is the quantum
dimension that depends on both the structure of the excitation and the data
. The entanglement entropy of the excitations of the
linked/unlinked topology can capture different information of the DW theory
. In particular, the entanglement entropy introduced by Hopf-link
loop excitations can distinguish certain group 4-cocycles from the
others.Comment: 12 pages, 4 figures; v2: minor changes, published versio
Finite volume effects of the Nambu-Jona-Lasinio model with the running coupling constant
With the Schwinger's proper-time formalism of the Nambu-Jona-Lasinio model,
we investigate the finite volume effects in the presence of magnetic fields.
Since the coupling constant can be influenced by strong magnetic fields,
the model is solved with a running coupling constant which is fitted by
the lattice average and difference .
The investigation mainly focuses on the constituent quark mass and the thermal
susceptibility depending on the magnetic fields, the temperatures and the
finite sizes. For the model in finite or infinite volume, the magnetic fields
can increase the constituent quark mass while the temperatures can decrease it
inversely. There is a narrow range of the box length that makes the effects of
finite volume perform prominently. The model will behave close to infinite
volume limit for larger box length. It is shown that the influence of finite
volume can be changed by magnetic fields and temperatures. Finally, we discuss
the thermal susceptibility depending on the temperature in finite volume in the
presence of magnetic fields.Comment: 13 pages, 6 figure
Charge-dependent transverse momentum and its impact on the search for the chiral magnetic wave
The chiral magnetic wave (CMW) is sought using the charge asymmetry () dependence of anisotropic flow in heavy-ion collisions. The charge
dependent transverse momentum (), however, could play a role as a
background. With the string fragmentation models, including PYTHIA, we
demonstrate the origin of the correlation and its
connection with the local charge conservation (LCC). The impact of and its behavior in varied kinematic windows are also discussed.
This study provides more insights for the search for the CMW and comprehending
the collective motion of the quark-gluon plasma.Comment: 6 pages, 6 figure
U(1) × U(1) symmetry-protected topological order in Gutzwiller wave functions
Gutzwiller projection is a way to construct many-body wave functions that could carry topological order or symmetry-protected topological (SPT) order. However, an important issue is to determine whether or not a given Gutzwiller-projected wave function (GWF) carries a nontrivial SPT order, and which SPT order is carried by the wave function. In this paper, we numerically study the SPT order in a spin S = 1 GWF on the kagome lattice. Using the standard Monte Carlo method, we directly confirm that the GWF has (1) gapped bulk with short-range correlations, (2) a trivial topological order via a nondegenerate ground state, and zero topological entanglement entropy, (3) a nontrivial U(1) × U(1) SPT order via the Hall conductances of the protecting U(1) × U(1) symmetry, and (4) a symmetry-protected gapless boundary. This represents numerical evidence of continuous symmetry-protected topological order in two-dimensional bosonic lattice systems.Perimeter Institute for Theoretical PhysicsNational Science Foundation (U.S.) (Grant DMR-1005541)National Natural Science Foundation (China) (Grant 11274192)Templeton Foundation (Grant 39901
Mutual Composite Fermion and composite Boson approaches to balanced and imbalanced bilayer quantum Hall system: an electronic analogy of the Helium 4 system
We use both Mutual Composite Fermion (MCF) and Composite Boson (CB) approach
to study balanced and im-balanced Bi-Layer Quantum Hall systems (BLQH) and make
critical comparisons between the two approaches. We find the CB approach is
superior to the MCF approach in studying ground states with different kinds of
broken symmetries. In the phase representation of the CB theory, we first study
the Excitonic superfluid state (ESF). The theory puts spin and charge degree
freedoms in the same footing, explicitly bring out the spin-charge connection
and classify all the possible excitations in a systematic way. Then in the dual
density representation of the CB theory, we study possible intermediate phases
as the distance increases. We propose there are two critical distances and three phases as the distance increases. When ,
the system is in the ESF state which breaks the internal symmetry,
when , the system is in an Pseudo-spin density wave
(PSDW) state which breaks the translational symmetry, there is a first order
transition at driven by the collapsing of magneto-roton minimum at a
finite wavevector in the pseudo-spin channel. When , the
system becomes two weakly coupled Composite Fermion Fermi Liquid
(FL) state. There is also a first order transition at . We
construct a quantum Ginzburg Landau action to describe the transition from ESF
to PSDW which break the two completely different symmetries. By using the QGL
action, we explicitly show that the PSDW takes a square lattice and analyze in
detail the properties of the PSDW at zero and finite temperature.Comment: 29 PRB pages, 18 figures, 2 tables, REVTEX
DopplerBAS: Binaural Audio Synthesis Addressing Doppler Effect
Recently, binaural audio synthesis (BAS) has emerged as a promising research
field for its applications in augmented and virtual realities. Binaural audio
helps users orient themselves and establish immersion by providing the brain
with interaural time differences reflecting spatial information. However,
existing BAS methods are limited in terms of phase estimation, which is crucial
for spatial hearing. In this paper, we propose the \textbf{DopplerBAS} method
to explicitly address the Doppler effect of the moving sound source.
Specifically, we calculate the radial relative velocity of the moving speaker
in spherical coordinates, which further guides the synthesis of binaural audio.
This simple method introduces no additional hyper-parameters and does not
modify the loss functions, and is plug-and-play: it scales well to different
types of backbones. DopperBAS distinctly improves the representative WarpNet
and BinauralGrad backbones in the phase error metric and reaches a new state of
the art (SOTA): 0.780 (versus the current SOTA 0.807). Experiments and ablation
studies demonstrate the effectiveness of our method.Comment: Accepted to ACL 2023 short paper; key words: binaural audio,
stereophonic soun
- …