Scattering of Spin-$\frac{1}{2}$ Particles from a $\cal PT$-symmetric Complex Potential

• URL: http://arxiv.org/abs/2008.02506v1
• Date: Thu, 6 Aug 2020 08:03:43 GMT
• Title: Scattering of Spin-$\frac{1}{2}$ Particles from a $\cal PT$-symmetric Complex Potential
• Authors: Ege \"Ozg\"un, Tu\u{g}rul Hakio\u{g}lu, Ekmel \"Ozbay
• Abstract summary: We show the coexistence of $cal PT$-symmetric and $cal PT$-broken phases for broadband energy spectra in this system. Our results are promising for applications in spintronics, semiconductor-based devices, and a better understanding of the topological surface states.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: In this letter, we study the scattering of spin-$\frac{1}{2}$ particles from a spin-independent parity time ($\cal PT$)-symmetric complex potential, and for the first time, theoretically demonstrate the coexistence of $\cal PT$-symmetric and $\cal PT$-broken phases for broadband energy spectra in this system. We also show the existence of anisotropic transmission resonances, accessible through the tuning of energy. Our results are promising for applications in spintronics, semiconductor-based devices, and a better understanding of the topological surface states.

Related papers

• Parity-dependent unidirectional and chiral photon transfer in reversed-dissipation cavity optomechanics [11.712867508048555]
  We show broadband nonreciprocal photon transmission in the emphreversed-dissipation regime. In the reversed-dissipation regime, the nonreciprocal bandwidth is no longer limited by the mechanical mode linewidth. We find that the direction of the unidirectional and chiral energy transfer could be reversed by changing the emphparity of the Eps.
  arXiv  Detail & Related papers  (2022-12-22T23:57:00Z)
• 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)
• Information retrieval and eigenstates coalescence in a non-Hermitian quantum system with anti-$\mathcal{PT}$ symmetry [15.273168396747495]
  Non-Hermitian systems with parity-time reversal ($mathcalPT$) or anti-$mathcalPT$ symmetry have attracted a wide range of interest owing to their unique characteristics and counterintuitive phenomena. We implement a Floquet Hamiltonian of a single qubit with anti-$mathcalPT$ symmetry by periodically driving a dissipative quantum system of a single trapped ion.
  arXiv  Detail & Related papers  (2021-07-27T07:11:32Z)
• Ultracold spin-balanced fermionic quantum liquids with renormalized $P$-wave interactions [0.0]
  We consider a spin-balanced degenerate gas of spin-1/2 fermions governed by low-energy $P$-wave interactions. The energy per particle $barcalE$ in the many-body system is calculated by resumming the ladder diagrams.
  arXiv  Detail & Related papers  (2021-07-16T18:00:01Z)
• Exceptional Point and Cross-Relaxation Effect in a Hybrid Quantum System [10.893480720749444]
  Exceptional points (EPs) are exotic degeneracies of non-Hermitian systems. We report an experimental observation of the EP in a hybrid quantum system consisting of dense nitrogen (P1) centers in diamond coupled to a coplanar-waveguide resonator.
  arXiv  Detail & Related papers  (2021-04-20T07:55:00Z)
• Interacting holes in Si and Ge double quantum dots: from a multiband approach to an effective-spin picture [0.0]
  We investigate two-hole states in prototypical coupled Si and Ge quantum dots via different theoretical approaches. We find that, in the weak interdot regime, the ground state and first excited multiplet of the two-hole system display -- unlike their electronic counterparts -- a high degree of $J$-mixing. The light-hole component additionally induces $M$-mixing and a weak coupling between spinors characterized by different permutational symmetries.
  arXiv  Detail & Related papers  (2021-04-15T19:18:50Z)
• $\mathcal{PT}$-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)
• Simulating non-Hermitian dynamics of a multi-spin quantum system and an emergent central spin model [0.0]
  It is possible to simulate the dynamics of a single spin-$1/2$ ($mathsfPT$ symmetric) system by embedding it into a subspace of a larger Hilbert space with unitary dynamics. We visualize it as a strongly correlated central spin model with the additional spin-$1/2$ playing the role of central spin.
  arXiv  Detail & Related papers  (2020-12-24T19:00:11Z)
• $\mathcal{P}$,$\mathcal{T}$-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)
• Hidden symmetry and (super)conformal mechanics in a monopole background [0.0]
  We study classical and quantum hidden symmetries of a particle with electric charge $e$ in the background of a Dirac monopole of magnetic charge $g$ subjected to an additional central potential $V(r)=U(r) +(eg)2/2mr2$ with $U(r)=tfrac12momega2r2$. By means of a non-unitary conformal bridge transformation, we establish a relation of the quantum states and of all symmetries of the system with those of the system without
  arXiv  Detail & Related papers  (2020-02-11T12:14:38Z)

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.