Quantum dynamics of PT-symmetrically kicked particle confined in a 1D box
arXiv:1807.10966 · doi:10.1088/1751-8121/aaf08b
Abstract
We study quantum particle dynamics in a box and driven by PT-symmetric, delta-kicking complex potential. Such dynamical characteristics as the average kinetic energy as function of time and quasi-energy at different values of the kicking parameters. Breaking of the PT-symmetry at certain values of the non-Hermitian kicking parameter is shown. Experimental realization of the model is also discussed.
References in corpus (29)
- Real Spectra in Non-Hermitian Hamiltonians Having PT Symmetry
- Making Sense of Non-Hermitian Hamiltonians
- Complex Extension of Quantum Mechanics
- Pseudo-Hermiticity versus PT Symmetry: The necessary condition for the reality of the spectrum of a non-Hermitian Hamiltonian
- PT-Symmetric Quantum Mechanics
- Nonlinear waves in -symmetric systems
- Exact PT-Symmetry Is Equivalent to Hermiticity
- Must a Hamiltonian be Hermitian?
- Stability analysis for solitons in PT-symmetric optical lattices
- PT-symmetry in honeycomb photonic lattices
- Exactly solvable PT-symmetric Hamiltonian having no Hermitian counterpart
- PT-Symmetric Wave Chaos
- Symmetric Real Dirac Fermions and Semimetals
- Scalar Quantum Field Theory with Cubic Interaction
- Experimental realization of Floquet PT-symmetric systems
- PT symmetry and necessary and sufficient conditions for the reality of energy eigenvalues
- Conjecture on the Interlacing of Zeros in Complex Sturm-Liouville Problems
- PT-Symmetric Versus Hermitian Formulations of Quantum Mechanics
- From scattering theory to complex wave dynamics in non-hermitian PT-symmetric resonators
- Localization, quantum resonances and ratchet acceleration in a periodically-kicked -symmetric quantum rotator
- Chaotic systems in complex phase space
- Two-Point Green's Function in PT-Symmetric Theories
- Accelerator modes of square well system
- Solitary waves of a PT-symmetric Nonlinear Dirac equation
- Quantum star-graph analogues of PT-symmetric square wells
- The particle in a box in PT quantum mechanics and an electromagnetic analog
- Winding in Non-Hermitian Systems
- Quantum star-graph analogues of PT-symmetric square wells. II: Spectra
- Classical and quantum dynamics of a kicked relativistic particle in a box