Optical Solitons From Fibers To Photonic Crystals

In this paper, we investigate the soliton interaction in the Heisenberg ferromagnetic spin chain (HFSC), which is governed by a (2+1) dimensional fourth-order nonlinear Schrödinger equation. Research on the transformation of soliton states in the HFSC plays a significant role in the applications of magnetic devices and spintronic components. The soliton solutions are obtained by the Hirota bilinear method. Bound state solitons and different transmission states of periodic discrete wave packets formed by soliton interactions are depicted. Besides, a new phenomenon, that two solitons bound together originally are completely separated after three solitons interact with each other, is presented. The effects of corresponding parameters on the soliton propagation and interaction are discussed. The methods to control the amplitude, duration, intensity and phase of solitons are described. The obtained results may be useful to study the nonlinear characteristics of magnetic materials.

https://iopscience.iop.org/article/10.1088/1555-6611/aaffc9/pdf

Transformation of soliton states for a (2+1) dimensional fourth-order nonlinear Schrödinger equation in the Heisenberg ferromagnetic spin chain

We show that the recently introduced ModMax theory of electrodynamics
and its Born-Infeld-like generalization are related by a flow equation
driven by a quadratic combination of stress-energy tensors. The operator
associated to this flow is a 4d4d
analogue of the T\overline{T}TT¯
deformation in two dimensions. This result generalizes the observation
that the ordinary Born-Infeld Lagrangian is related to the free Maxwell
theory by a current-squared flow. As in that case, we show that no
analogous relationship holds in any other dimension besides
d=4d=4.
We also demonstrate that the \mathcal{N}=1𝒩=1
supersymmetric version of the ModMax-Born-Infeld theory obeys a related
supercurrent-squared flow which is formulated directly in
\mathcal{N} = 1𝒩=1
superspace.

On Current-Squared Flows and ModMax Theories

JT gravity has a first-order formulation as a two-dimensional BF theory, which can be viewed as the dimensional reduction of the Chern-Simons description of 3d gravity. We consider T T -type deformations of the (0+1)-dimensional dual to this 2d BF theory and interpret the deformation as a modification of the BF theory boundary conditions. The fundamental observables in this deformed BF theory, and in its 3d Chern-Simons lift, are Wilson lines and loops. In the 3d Chern-Simons setting, we study modifications to correlators involving boundary-anchored Wilson lines which are induced by a T T deformation on the 2d boundary; results are presented at both the classical level (using modified boundary conditions) and the quantum-mechanical level (using conformal perturbation theory). Finally, we calculate the analogous deformed Wilson line correlators in 2d BF theory below the Hagedorn temperature where the principal series dominates over the discrete series. Copyright S. Ebert et al. This work is licensed under the Creative Commons Attribution 4.0 International License. Published by the SciPost Foundation. Received 06-06-2022 Accepted 06-09-2022 Published 13-10-2022 Check for updates doi:10.21468/SciPostPhys.13.4.096

T T in JT gravity and BF gauge theory

Generation of hyperentangled state encoded in three degrees of freedom

In this study, we introduce an online public quantum computation platform, named as ScQ, based on a 1D array of a 10-qubit superconducting processor. Single-qubit rotation gates can be performed on each qubit. Controlled-NOT gates between nearest-neighbor sites on the 1D array of 10 qubits are available. We show the online preparation and verification of Greenberger-Horne-Zeilinger states of up to 10 qubits through this platform for all possible blocks of qubits in the chain. The graphical user interface and quantum assembly language methods are presented to achieve the above tasks, which rely on a parameter scanning feature implemented on ScQ. The performance of this quantum computation platform, such as fidelities of logic gates and details of the superconducting device, is presented. 

/pdf/scq-cloud-quantum-computation-for-generating-greenberger-3n864kd8.pdf

ScQ cloud quantum computation for generating Greenberger-Horne-Zeilinger states of up to 10 qubits

We define a manifestly supersymmetric version of the TT deformation appropriate for a class of (0 + 1)-dimensional theories with N = 1 or N = 2 supersymmetry, including one presentation of the super-Schwarzian theory which is dual to JT supergravity. These deformations are written in terms of Noether currents associated with translations in superspace, so we refer to them collectively as f(Q) deformations. We provide evidence that the f(Q) deformations of N = 1 and N = 2 theories are on-shell equivalent to the dimensionally reduced supercurrent-squared deformations of 2d theories with N = (0, 1) and N = (1, 1) supersymmetry, respectively. In the N = 1 case, we present two forms of the f(Q) deformation which drive the same flow, and clarify their equivalence by studying the analogous equivalent deformations in the non-supersymmetric setting.

TT deformations of supersymmetric quantum mechanics

A bstract When an interface connects two CFTs, the entanglement entropy between the two CFTs is determined by a quantity called the effective central charge. The effective central charge does not have a simple form in terms of the central charges of the two CFTs, but intricately depends on the transmissive properties of the interface. In this article, we examine universal properties of the effective central charge. We first clarify how the effective central charge appears when considering general subsystems of the interface CFT. Then using this result and ideas used in the proof of the c -theorem, we provide a universal upper bound on the effective central charge. In past studies, the effective central charge was defined only in two dimensions. We propose an analogue of the effective central charge in general dimensions possessing similar universal properties as in two dimensions. 

pdf/universality-of-effective-central-charge-in-interface-cfts-30xw4sz146.pdf

Universality of effective central charge in interface CFTs

Analytic studies on a generalized inhomogeneous higher-order nonlinear Schrödinger equation for the Heisenberg ferromagnetic spin chain

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