Informational analysis of the confinement of an electron in an asymmetric double quantum dot

• URL: http://arxiv.org/abs/2410.22538v2
• Date: Thu, 26 Dec 2024 18:03:22 GMT
• Title: Informational analysis of the confinement of an electron in an asymmetric double quantum dot
• Authors: W. S. Nascimento, A. M. Maniero, F. V. Prudente, C. R. de Carvalho, Ginette Jalbert,
• Abstract summary: A quasi-unidimensional one-electron double quantum dot is studied within the framework of Shannon informational entropy. In this work we employ Shannon informational entropy as a tool to investigate changes in the electronic confinement.
• Score: 0.0
• License:
• Abstract: A quasi-unidimensional one-electron double quantum dot is studied within the framework of Shannon informational entropy. Its confinement potential, which is described by an asymmetric harmonic-gaussian function, consists of two wells separated by a potential barrier, and the asymmetry of the potential in respect to the center of the barrier is parameterized by $x_0$. In this work we employ Shannon informational entropy as a tool to investigate changes in the electronic confinement resulting from the modifications in the degree of asymmetry $x_0$. In particular, we notice that Shannon entropy turns out to be very sensitive to the change from the symmetric to the antisymmetric regime. Moreover, we show that Shannon entropy as a function of $x_0$ for an electronic excited state displays an irregular behavior whenever the state energy is in the vicinity of a local extreme (a maximum or a minimum); connected with this we observe an oscillatory behavior of the energy of the excited states as a function of $x_0$.

Related papers

• Controlling Symmetries and Quantum Criticality in the Anisotropic Coupled-Top Model [32.553027955412986]
  We investigate the anisotropic coupled-top model, which describes the interactions between two large spins along both $x-$ and $y-$directions. We can manipulate the system's symmetry, inducing either discrete $Z$ or continuous U(1) symmetry. The framework provides an ideal platform for experimentally controlling symmetries and investigating associated physical phenomena.
  arXiv  Detail & Related papers  (2025-02-13T15:14:29Z)
• Oscillatory dissipative tunneling in an asymmetric double-well potential [32.65699367892846]
  Chemical research will benefit from a fully adjustable, asymmetric double-well equipped with precise measurement capabilities of the tunneling rates. We show a quantum simulator system that consists of a continuously driven Kerr parametric oscillator with a third order non-linearity that can be operated in the quantum regime to create a fully asymmetric double-well. Our work is a first step for the development of analog molecule simulators of proton transfer reactions based on quantum superconducting circuits.
  arXiv  Detail & Related papers  (2024-09-19T22:43:07Z)
• 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)
• Three perspectives on entropy dynamics in a non-Hermitian two-state system [41.94295877935867]
  entropy dynamics as an indicator of physical behavior in an open two-state system with balanced gain and loss is presented. We distinguish the perspective taken in utilizing the conventional framework of Hermitian-adjoint states from an approach that is based on biorthogonal-adjoint states and a third case based on an isospectral mapping.
  arXiv  Detail & Related papers  (2024-04-04T14:45:28Z)
• Quantum Information Measures in Quartic and Symmetric Potentials using perturbative approach [0.0]
  We analyze the Shannon and Fisher information measures for systems subjected to quartic and symmetric potential wells. For both potentials, the Shannon entropy decreases in position space and increases in momentum space as the width increases. For the symmetric well potential, the Fisher information decreases in position space and increases in momentum space as localization in position space increases.
  arXiv  Detail & Related papers  (2023-08-14T10:15:30Z)
• Emergence of non-Abelian SU(2) invariance in Abelian frustrated fermionic ladders [37.69303106863453]
  We consider a system of interacting spinless fermions on a two-leg triangular ladder with $pi/2$ magnetic flux per triangular plaquette. Microscopically, the system exhibits a U(1) symmetry corresponding to the conservation of total fermionic charge, and a discrete $mathbbZ$ symmetry. At the intersection of the three phases, the system features a critical point with an emergent SU(2) symmetry.
  arXiv  Detail & Related papers  (2023-05-11T15:57:27Z)
• Thermal masses and trapped-ion quantum spin models: a self-consistent approach to Yukawa-type interactions in the $λ\!φ^4$ model [44.99833362998488]
  A quantum simulation of magnetism in trapped-ion systems makes use of the crystal vibrations to mediate pairwise interactions between spins. These interactions can be accounted for by a long-wavelength relativistic theory, where the phonons are described by a coarse-grained Klein-Gordon field. We show that thermal effects, which can be controlled by laser cooling, can unveil this flow through the appearance of thermal masses in interacting QFTs.
  arXiv  Detail & Related papers  (2023-05-10T12:59:07Z)
• Non-Abelian symmetry can increase entanglement entropy [62.997667081978825]
  We quantify the effects of charges' noncommutation on Page curves. We show analytically and numerically that the noncommuting-charge case has more entanglement.
  arXiv  Detail & Related papers  (2022-09-28T18:00:00Z)
• Scalable spin squeezing from spontaneous breaking of a continuous symmetry [0.0]
  In systems of $S=1/2$ or qubits, the combination of the suppression of fluctuations along one direction and of the persistence of transverse magnetization leads to spin squeezing. Our findings open the door to the adiabatic preparation of strongly spin-squeezed states in a large variety of quantum many-body devices including e.g. optical lattice clocks.
  arXiv  Detail & Related papers  (2022-02-17T11:41:30Z)
• SYK meets non-Hermiticity II: measurement-induced phase transition [16.533265279392772]
  We analytically derive the effective action in the large-$N$ limit and show that an entanglement transition is caused by the symmetry breaking in the enlarged replica space. We also verify the large-$N$ critical exponents by numerically solving the Schwinger-Dyson equation.
  arXiv  Detail & Related papers  (2021-04-16T17:55:08Z)
• Stable States with Non-Zero Entropy under Broken $\mathcal{PT}$-Symmetry [1.3049516752695611]
  We focus on the dynamical features of a triple-qubit system, one of which evolves under local $mathcalPT$-symmetric Hamiltonian. A new kind of abnormal dynamic pattern in the entropy evolution process is identified, which presents a parameter-dependent stable state. Our work reveals the distinctive dynamic features in the triple-qubit $mathcalPT$-symmetric system and paves the way for practical quantum simulation of multi-party non-Hermitian system on quantum computers.
  arXiv  Detail & Related papers  (2021-01-01T05:56:28Z)

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.