Anomalous Faraday effect in a $\mathcal{P}\mathcal{T}$-symmetric dielectric slab

• URL: http://arxiv.org/abs/2205.09871v2
• Date: Mon, 26 Sep 2022 13:28:03 GMT
• Title: Anomalous Faraday effect in a $\mathcal{P}\mathcal{T}$-symmetric dielectric slab
• Authors: Vladimir Gasparian, Peng Guo and Esther J\'odar
• Abstract summary: We discuss a phase transition-like anomalous behavior of Faraday rotation angles in a simple parity-time symmetric model. In anomalous phase, the value of one of Faraday rotation angles may turn negative, and both angles suffer spectral singularities and yield strong enhancement near singularities.
• Score: 3.129341288414507
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: In this letter we discuss a phase transition-like anomalous behavior of Faraday rotation angles in a simple parity-time ($\mathcal{P}\mathcal{T}$) symmetric model with two complex $\delta$-potential placed at both boundaries of a regular dielectric slab. In anomalous phase, the value of one of Faraday rotation angles may turn negative, and both angles suffer spectral singularities and yield strong enhancement near singularities.

Related papers

• Spontaneous polarized phase transitions and symmetry breaking of an ultracold atomic ensemble in a Raman-assisted cavity [9.354561963143967]
  We investigate an ensemble consisting of $N$ four-level atoms within an optical cavity coupled to the single cavity mode and external laser fields. Some novel phases characterized by the phase differences between the polarized cavity field or the atomic spin excitation and the Raman laser are found analytically. It is found that besides the continuous $U(1)$ and discrete $mathbbZ$ symmetries, the system also exhibits two reflection symmetries $sigma_v$s, a central symmetry $C$ in the abstract position-momentum representation, and a discrete reflection-time symmetry
  arXiv  Detail & Related papers  (2024-08-19T16:10:47Z)
• Flux-Tunable Regimes and Supersymmetry in Twisted Cuprate Heterostructures [39.58317527488534]
  Two Josephson junctions are integrated in a SQuID circuit threaded by a magnetic flux. We show that the flowermon qubit regime is maintained up to a finite critical value of the magnetic field. The interplay between the inherent twisted d-wave nature of the order parameter and the external magnetic flux enables the implementation of different artificial atoms.
  arXiv  Detail & Related papers  (2024-05-06T13:27:19Z)
• 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)
• Effects of detuning on $\mathcal{PT}$-symmetric, tridiagonal, tight-binding models [0.0]
  Non-Hermitian, tight-binding $mathcalPT$-symmetric models are extensively studied in the literature. Here, we investigate two forms of non-Hermitian Hamiltonians to study the $mathcalPT$-symmetry breaking thresholds and features of corresponding surfaces of exceptional points (EPs) Taken together, our results provide a detailed understanding of detuned tight-binding models with a pair of gain-loss potentials.
  arXiv  Detail & Related papers  (2023-02-26T01:36:59Z)
• Spin Current Density Functional Theory of the Quantum Spin-Hall Phase [59.50307752165016]
  We apply the spin current density functional theory to the quantum spin-Hall phase. We show that the explicit account of spin currents in the electron-electron potential of the SCDFT is key to the appearance of a Dirac cone.
  arXiv  Detail & Related papers  (2022-08-29T20:46:26Z)
• Superdiffusion in random two dimensional system with time-reversal symmetry and long-range hopping [45.873301228345696]
  localization problem in the crossover regime for the dimension $d=2$ and hopping $V(r) propto r-2$ is not resolved yet. We show that for the hopping determined by two-dimensional anisotropic dipole-dipole interactions there exist two distinguishable phases at weak and strong disorder.
  arXiv  Detail & Related papers  (2022-05-29T16:53:20Z)
• Light transfer transitions beyond higher-order exceptional points in parity-time and anti-parity-time symmetric waveguide arrays [7.21172766653517]
  Two non-Hermitian arrays are proposed for investigating light transfer dynamics based on $N$th-order exceptional points (EPs) The $mathcalPT$-symmetric array supports two $N$th-order EPs separating an unbroken and a broken phase with real and imaginary eignvalues, respectively. The anti-$mathcalPT$-symmetric array supports also two $N$th-order EPs separating an unbroken and a broken phase, which refer however to imaginary and real eignvalues, respectively.
  arXiv  Detail & Related papers  (2022-05-16T10:51:38Z)
• $\mathcal{PT}$-symmetry breaking in a Kitaev chain with one pair of gain-loss potentials [0.0]
  Parity-time symmetric systems are governed by non-Hermitian Hamiltonians with exceptional-point (EP) degeneracies. Here, we obtain the $mathcalPT$-threshold for a one-dimensional, finite Kitaev chain. In particular, for an even chain with zero on-site potential, we find a re-entrant $mathcalPT$-symmetric phase bounded by second-order EP contours.
  arXiv  Detail & Related papers  (2021-03-12T03:10:45Z)
• $\mathcal{P}$,$\mathcal{T}$-odd effects for RaOH molecule in the excited vibrational state [77.34726150561087]
  Triatomic molecule RaOH combines the advantages of laser-coolability and the spectrum with close opposite-parity doublets. We obtain the rovibrational wave functions of RaOH in the ground electronic state and excited vibrational state using the close-coupled equations derived from the adiabatic Hamiltonian.
  arXiv  Detail & Related papers  (2020-12-15T17:08:33Z)
• Generating ${\rm N00N}$-states of surface plasmon-polariton pairs with a nanoparticle [58.720142291102135]
  We consider a generation of two-particle quantum states in the process of spontaneous parametric down-conversion of light. We show that for certain excitation geometries, $rm N00N$-states of surface plasmon-polariton pairs could be obtained.
  arXiv  Detail & Related papers  (2020-02-12T22:59:38Z)
• Anisotropy-mediated reentrant localization [62.997667081978825]
  We consider a 2d dipolar system, $d=2$, with the generalized dipole-dipole interaction $sim r-a$, and the power $a$ controlled experimentally in trapped-ion or Rydberg-atom systems. We show that the spatially homogeneous tilt $beta$ of the dipoles giving rise to the anisotropic dipole exchange leads to the non-trivial reentrant localization beyond the locator expansion.
  arXiv  Detail & Related papers  (2020-01-31T19:00:01Z)

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.