Formation, prevalence, and stability of bouncing-ball quantum scars
arXiv:2410.07709 · doi:10.1103/PhysRevB.110.235420
Abstract
Quantum scars correspond to enhanced probability densities along unstable classical periodic orbits. In recent years, research on quantum scars has extended to various systems including the many-body regime. In this work we focus on the formation, prevalence, and stability of linear "bouncing-ball" (BB) scars in two-dimensional (2D) quantum wells. These scars have relevance as effective and controllable channels in quantum transport. We utilize imaginary time propagation to solve the 2D Schrödinger equation within an arbitrary external confining potential, specifically the quantum well model with external perturbations. We show how BB scars begin to emerge with a single perturbative peak, such as a repulsive bump or attractive dip that simulates the effect of a charged nanotip in the system. We then identify the optimal size of the perturbative peak to maximize the prevalence of these scars. Finally, we investigate the stability of BB scars against external noise and find that some of them are remarkably robust. This suggests promising opportunities for further applications of BB scars in quantum transport.
8 pages, 7 figures; typos corrected, caption of figure 3 corrected, references updated; arXiv title updated
References in corpus (26)
- Probing many-body dynamics on a 51-atom quantum simulator
- Quantum many-body scars
- Ray and wave chaos in asymmetric resonant optical cavities
- Quantum Many-Body Scars and Weak Breaking of Ergodicity
- Periodic orbits, entanglement and quantum many-body scars in constrained models: matrix product state approach
- Observing non-ergodicity due to kinetic constraints in tilted Fermi-Hubbard chains
- Linear and Nonlinear Theory of Eigenfunction Scars
- Observation of Scarred Modes in Asymmetrically Deformed Microcylinder Lasers
- Quantum Many-Body Scars in Optical Lattices
- Impurity effects in quantum dots: Towards quantitative modeling
- Recent Developments in the Theory of Scarring
- First Experimental Observation of Superscars in a Pseudointegrable Barrier Billiard
- Quantum Lissajous Scars
- Genuine many-body quantum scars along unstable modes in Bose-Hubbard systems
- Scarring by homoclinic and heteroclinic orbits
- Direct Visualization of Relativistic Quantum Scars
- Controllable quantum scars in semiconductor quantum dots
- Quantum scars and regular eigenstates in a chaotic spinor condensate
- Origin of strong scarring of wavefunctions in quantum wells in a tilted magnetic field
- Wave function mapping conditions in Open Quantum Dots structures
- Ground-state energy and spin in disordered quantum dots
- Polyatomic trilobite Rydberg molecules in a dense random gas
- Density functional theory of spin-polarized disordered quantum dots
- Effects of scarring on quantum chaos in disordered quantum wells
- Imaginary time propagation code for large-scale two-dimensional eigenvalue problems in magnetic fields
- The short periodic orbit method for excited chaotic eigenfunctions
Cited by in corpus (6)
- Variational Scarring in Graphene Quantum Dots
- Variational Scarring in Open Two-Dimensional Quantum Dots
- Antiscarring from eigenstate stacking in a chaotic spinor condensate
- Coexistence of Anderson Localization and Quantum Scarring in Two Dimensions
- Quantum birthmarks: Ergodicity breaking beyond scarring
- The simplest 2D quantum walk detects chaoticity