PT-like phase transition and limit cycle oscillations in non-reciprocally coupled optomechanical oscillators levitated in vacuum
Nanoparticles levitated in an optical trap provide a versatile platform to study mechanical
oscillators in a controlled environment with tuneable parameters. Recently, it has become …
oscillators in a controlled environment with tuneable parameters. Recently, it has become …
Unidirectional wave vector manipulation in two-dimensional space with an all passive acoustic parity-time-symmetric metamaterials crystal
Exploring the concept of non-Hermitian Hamiltonians respecting parity-time symmetry with
classical wave systems is of great interest as it enables the experimental investigation of …
classical wave systems is of great interest as it enables the experimental investigation of …
Explicit definition of symmetry for nonunitary quantum walks with gain and loss
PT symmetry, that is, a combined parity and time-reversal symmetry, is a key milestone for
non-Hermitian systems exhibiting entirely real eigenenergy. In the present work, motivated …
non-Hermitian systems exhibiting entirely real eigenenergy. In the present work, motivated …
Classical Hamiltonian Systems with balanced loss and gain
PK Ghosh - Journal of Physics: Conference Series, 2021 - iopscience.iop.org
Classical Hamiltonian systems with balanced loss and gain are considered in this review. A
generic Hamiltonian formulation for systems with space-dependent balanced loss and gain …
generic Hamiltonian formulation for systems with space-dependent balanced loss and gain …
Bound states, scattering states, and resonant states in -symmetric open quantum systems
We study a simple open quantum system with a PT-symmetric defect potential as a prototype
in order to illustrate a number of general features of PT-symmetric open quantum systems; …
in order to illustrate a number of general features of PT-symmetric open quantum systems; …
Wave propagation, bi-directional reflectionless, and coherent perfect absorption-lasing in finite periodic PT-symmetric photonic systems
JY Lee, PY Chen - Nanophotonics, 2023 - degruyter.com
With consideration of parity-time (PT) symmetry, Lorentz reciprocity theorem, and real Bloch
phase, we propose a generalized parametric space for any PT-symmetric unit cells that can …
phase, we propose a generalized parametric space for any PT-symmetric unit cells that can …
Coupled oscillator systems having partial symmetry
This paper examines chains of N coupled harmonic oscillators. In isolation, the j th oscillator
(1≤ j≤ N) has the natural frequency ω j and is described by the Hamiltonian 1 2 pj 2+ 1 2 ω …
(1≤ j≤ N) has the natural frequency ω j and is described by the Hamiltonian 1 2 pj 2+ 1 2 ω …
Tunneling time in -symmetric systems
P Guo, V Gasparian, E Jódar, C Wisehart - Physical Review A, 2023 - APS
In the present work, we propose a generalization of tunneling time in parity and time (PT)-
symmetric systems. The properties of tunneling time in PT-symmetric systems are studied …
symmetric systems. The properties of tunneling time in PT-symmetric systems are studied …
[HTML][HTML] Kelvin-Helmholtz instability is the result of parity-time symmetry breaking
Parity-Time (PT)-symmetry is being actively investigated as a fundamental property of
observables in quantum physics. We show that the governing equations of the classical two …
observables in quantum physics. We show that the governing equations of the classical two …
[HTML][HTML] PT-symmetric non-Hermitian Hamiltonian and invariant operator in periodically driven SU (1, 1) system
Y Gu, XM Bai, XL Hao, JQ Liang - Results in Physics, 2022 - Elsevier
We study in this paper the time evolution of P T-symmetric non-Hermitian Hamiltonian
consisting of periodically driven SU (1, 1) generators. A non-Hermitian invariant operator is …
consisting of periodically driven SU (1, 1) generators. A non-Hermitian invariant operator is …