Tunneling time in $\mathcal{P}\mathcal{T}$-symmetric systems
- URL: http://arxiv.org/abs/2208.13543v1
- Date: Mon, 29 Aug 2022 12:31:07 GMT
- Title: Tunneling time in $\mathcal{P}\mathcal{T}$-symmetric systems
- Authors: Peng Guo, Vladimir Gasparian, Esther J\'odar and Christopher Wisehart
- Abstract summary: tunneling time in parity and time ($mathcalPmathcalT$)-symmetric systems is studied.
The physical meaning of negative tunneling time in $mathcalPmathcalT$-symmetric systems is discussed.
- Score: 2.7843597176715056
- License: http://creativecommons.org/licenses/by/4.0/
- Abstract: In the present work we propose a generalization of tunneling time in parity
and time ($\mathcal{P}\mathcal{T}$)-symmetric systems. The properties of
tunneling time in $\mathcal{P}\mathcal{T}$-symmetric systems are studied with a
simple contact interactions periodic finite size diatomic
$\mathcal{P}\mathcal{T}$-symmetric model. The physical meaning of negative
tunneling time in $\mathcal{P}\mathcal{T}$-symmetric systems and its relation
to spectral singularities is discussed.
Related papers
- Tunneling time and Faraday/Kerr effects in $\mathcal{PT}$-symmetric
systems [3.4905850230116844]
Similarities of two phenomena are discussed, both exhibit a phase transition-like anomalous behaviour in certain range of model parameters.
Anomalous behaviour of tunneling time and Faraday/Kerr angles in $mathcalPmathcalT$-symmetric systems is caused by the motion of poles of scattering amplitudes in energy/frequency complex plane.
arXiv Detail & Related papers (2023-08-19T04:25:28Z) - Quantum Current and Holographic Categorical Symmetry [62.07387569558919]
A quantum current is defined as symmetric operators that can transport symmetry charges over an arbitrary long distance.
The condition for quantum currents to be superconducting is also specified, which corresponds to condensation of anyons in one higher dimension.
arXiv Detail & Related papers (2023-05-22T11:00:25Z) - Deep Learning Symmetries and Their Lie Groups, Algebras, and Subalgebras
from First Principles [55.41644538483948]
We design a deep-learning algorithm for the discovery and identification of the continuous group of symmetries present in a labeled dataset.
We use fully connected neural networks to model the transformations symmetry and the corresponding generators.
Our study also opens the door for using a machine learning approach in the mathematical study of Lie groups and their properties.
arXiv Detail & Related papers (2023-01-13T16:25:25Z) - Towards Antisymmetric Neural Ansatz Separation [48.80300074254758]
We study separations between two fundamental models of antisymmetric functions, that is, functions $f$ of the form $f(x_sigma(1), ldots, x_sigma(N))
These arise in the context of quantum chemistry, and are the basic modeling tool for wavefunctions of Fermionic systems.
arXiv Detail & Related papers (2022-08-05T16:35:24Z) - Uncertainties in Quantum Measurements: A Quantum Tomography [52.77024349608834]
The observables associated with a quantum system $S$ form a non-commutative algebra $mathcal A_S$.
It is assumed that a density matrix $rho$ can be determined from the expectation values of observables.
Abelian algebras do not have inner automorphisms, so the measurement apparatus can determine mean values of observables.
arXiv Detail & Related papers (2021-12-14T16:29:53Z) - Experimental demonstration of coherence flow in $\mathcal{PT}$- and
anti-$\mathcal{PT}$-symmetric systems [2.6168345242957582]
Non-Hermitian parity-time ($mathcalPT$) and anti-parity-time ($mathcalAPT$)-symmetric systems exhibit novel quantum properties.
Here, we experimentally demonstrate single-qubit coherence flow in $mathcalPT$- and $mathcalAPT$-symmetric systems using an optical setup.
arXiv Detail & Related papers (2021-11-06T04:49:45Z) - Global Convergence of Gradient Descent for Asymmetric Low-Rank Matrix
Factorization [49.090785356633695]
We study the asymmetric low-rank factorization problem: [mathbfU in mathbbRm min d, mathbfU$ and mathV$.
arXiv Detail & Related papers (2021-06-27T17:25:24Z) - Solvable dilation model of $\cal PT$-symmetric systems [5.562460678645834]
The dilation method is a practical way to experimentally simulate non-Hermitian, especially $cal PT$-symmetric quantum systems.
We present a simple yet non-trivial exactly solvable dilation problem with two dimensional time-dependent PT$-symmetric Hamiltonian.
arXiv Detail & Related papers (2021-04-11T16:01:26Z) - Fermion and meson mass generation in non-Hermitian Nambu--Jona-Lasinio
models [77.34726150561087]
We investigate the effects of non-Hermiticity on interacting fermionic systems.
We do this by including non-Hermitian bilinear terms into the 3+1 dimensional Nambu--Jona-Lasinio (NJL) model.
arXiv Detail & Related papers (2021-02-02T13:56:11Z) - Anti-$\mathcal{PT}$-symmetric Qubit: Decoherence and Entanglement
Entropy [0.0]
We investigate a two-level spin system based anti-parity-time (anti-$mathcalPT$)-symmetric qubit.
We compare our findings with that of the corresponding $mathcalPT$-symmetric and Hermitian qubits.
arXiv Detail & Related papers (2020-08-11T05:19:21Z) - Connecting active and passive $\mathcal{PT}$-symmetric Floquet
modulation models [0.0]
We present a simple model of a time-dependent $mathcalPT$-symmetric Hamiltonian which smoothly connects the static case, a $mathcalPT$-symmetric Floquet case, and a neutral-$mathcalPT$-symmetric case.
We show that slivers of $mathcalPT$-broken ($mathcalPT$-symmetric) phase extend deep into the nominally low (high) non-Hermiticity region.
arXiv Detail & Related papers (2020-08-04T20:14:20Z)
This list is automatically generated from the titles and abstracts of the papers in this site.
This site does not guarantee the quality of this site (including all information) and is not responsible for any consequences.