Hallmarks of tunneling dynamics with broken reflective symmetry
arXiv:2012.11888 · doi:10.1016/j.nuclphysb.2021.115483
Abstract
We study features of tunneling dynamics in an exactly-solvable model of N=4 supersymmetric quantum mechanics with a multi-well potential and with broken reflective symmetry. Quantum systems with a phenomenological potential of this type demonstrate the phenomenon of partial localization of under-barrier states, possibly resulting in the appearance of the so-called "resonant" tunneling, or the phenomenon of coherent tunneling destruction, referring to the complete localization. Taking the partial localization and the coherent tunneling destruction as basic examples, we indicate main advantages of using isospectral exactly-solvable Hamiltonians in studies quantum mechanical systems with two- and three-well potentials. They, in particular, are: having enough freedom of changing the potential shape in a wide range, that allows one to choose an exactly-solvable model close to characteristics of the phenomenological one; ability of changing the number of local minima and symmetry characteristics of the potential (symmetric or deformed) without changing the main part of the spectrum; engaging a smart basis of states, that dramatically decreases the dimensionality of matrices used in the diagonalization procedure of the corresponding spectral problem.
arXiv comment32 pages, 10 Figs; v2: 29 pages, 10 Figs, corrected version; v3: 32 pages, improved Figs, published version
References in corpus (31)
- Single Particle Tunneling in Strongly Driven Double Well Potentials
- Higher-Derivative Supersymmetry and the Witten Index
- Two-level systems driven by large-amplitude fields
- Visualization of Coherent Destruction of Tunneling in an Optical Double Well System
- Classifying and measuring the geometry of the quantum ground state manifold
- Extracting the quantum metric tensor through periodic driving
- Polynomial SUSY in Quantum Mechanics and Second Derivative Darboux Transformation
- Self-isospectrality, special supersymmetry, and their effect on the band structure
- Matter Coupling to Strong Electromagnetic Fields in Two-Level Quantum Systems with Broken Inversion Symmetry
- Nonlinear Supersymmetry for Spectral Design in Quantum Mechanics
- Quantum tunneling time
- Effective Theory of Non-Adiabatic Quantum Evolution Based on the Quantum Geometric Tensor
- Nonlinear coherent destruction of tunneling
- Effect of scalings and translations on the supersymmetric quantum mechanical structure of soliton systems
- Probing localization and quantum geometry by spectroscopy
- Klein tunneling in carbon nanostructures: a free particle dynamics in disguise
- Tunneling and energy splitting in an asymmetric double-well potential
- Semi-classical formula for quantum tunneling in asymmetric double-well potentials
- Chiral asymmetry in propagation of soliton defects in crystalline backgrounds
- THz laser based on dipolaritons
- ABC of ladder operators for rationally extended quantum harmonic oscillator systems
- Rational deformations of conformal mechanics
- Klein four-group and Darboux duality in conformal mechanics
- Localization or tunneling in asymmetric double-well potentials
- Hidden superconformal symmetry: Where does it come from?
- Implications of the Klein tunneling times on high frequency graphene devices using Bohmian trajectories
- Schwarzian derivative treatment of the quantum second-order supersymmetry anomaly, and coupling-constant metamorphosis
- Gaussian wavepacket dynamics and quantum tunneling in asymmetric double-well systems
- Tunneling dynamics in exactly-solvable models with triple-well potentials
- Dynamics of localized states in extended supersymmetric quantum mechanics with multi-well potentials
- Macroscopic Matter Wave Quantum Tunnelling