Amplitude control of a quantum state in a non-Hermitian Rice-Mele model driven by an external field
arXiv:1501.03607 · doi:10.1103/PhysRevA.92.012117
Abstract
In the Hermitian regime, a Berry phase is always the real number. It may be imaginary for a non-Hermitian system, which leads to amplitude amplification or attenuation of an evolved quantum state. We study the dynamics of the non-Hermitian Rice-Mele model driven by a time-dependent external field. The exact results show that it can have full real spectrum for any value of the field. Several rigorous results are presented for the Berry phase with respect to the varying field. We show that the Berry phase is the same complex constant for any initial state in a single sub-band. Numerical simulation indicates that the amplitude control of a state can be accomplished by a quasi-adiabatic process within a short time.
References in corpus (14)
- Quantum trajectories and open many-body quantum systems
- Faster than Hermitian Quantum Mechanics
- Observation of Vortex Pinning in Bose-Einstein Condensates
- Topological invariance and global Berry phase in non-Hermitian systems
- The Propagation of Quantum Information Through a Spin System
- Entanglement and spin squeezing in non-Hermitian phase transitions
- Geometric nature of the environment-induced Berry phase and geometric dephasing
- Geometric Phase for Non-Hermitian Hamiltonians and Its Holonomy Interpretation
- Asymmetric transmission through a flux-controlled non-Hermitian scattering center
- Conventional quantum phase transition driven by complex parameter in non-Hermitian PT-symmetric Ising model
- Geometric phases and quantum phase transitions in open systems
- Probability-preserving evolution in a non-Hermitian two-band model
- Sudden death of particle-pair Bloch oscillation and unidirectional propagation in a one-dimensional driven optical lattice
- Transmission phase lapse in the non-Hermitian Aharonov-Bohm interferometer near the spectral singularity
Cited by in corpus (6)
- Non-Hermitian tight-binding network engineering
- Nonadiabatic robust excitation transfer assisted by an imaginary gauge field
- Complex Berry phase and imperfect non-Hermitian phase transitions
- Non-Hermitian heat engine with all-quantum-adiabatic-process cycle
- Wide-range-tunable Dirac-cone band structure in a chiral-time-symmetric non-Hermitian system
- Classical correspondence of the exceptional points in the finite non-Hermitian system