Chiral state conversion in a levitated micromechanical oscillator with in situ control of parameter loops
arXiv:2010.10875 · doi:10.1088/0256-307X/37/10/100301
Abstract
Physical systems with gain and loss can be described by a non-Hermitian Hamiltonian, which is degenerated at the exceptional points (EPs). Many new and unexpected features have been explored in the non-Hermitian systems with a great deal of recent interest. One of the most fascinating features is that, chiral state conversion appears when one EP is encircled dynamically. Here, we propose an easy-controllable levitated microparticle system that carries a pair of EPs and realize slow evolution of the Hamiltonian along loops in the parameter plane. Utilizing the controllable rotation angle, gain and loss coefficients, we can control the structure, size and location of the loops in situ. We demonstrate that, under the joint action of topological structure of energy surfaces and nonadiabatic transitions (NATs), the chiral behavior emerges both along a loop encircling an EP and even along a straight path away from the EP. This work broadens the range of parameter space for the chiral state conversion, and proposes a useful platform to explore the interesting properties of exceptional points physics.
arXiv comment7pages,6 figures
References in corpus (26)
- Real Spectra in Non-Hermitian Hamiltonians Having PT Symmetry
- Making Sense of Non-Hermitian Hamiltonians
- Unidirectional Invisibility induced by PT-Symmetric Periodic Structures
- The physics of exceptional points
- Topological Origin of Non-Hermitian Skin Effects
- Dynamically encircling exceptional points in a waveguide: asymmetric mode switching from the breakdown of adiabaticity
- Topological energy transfer in an optomechanical system with exceptional points
- Spawning rings of exceptional points out of Dirac cones
- Observation of non-Hermitian bulk-boundary correspondence in quantum dynamics
- Observation of non-Hermitian degeneracies in a chaotic exciton-polariton billiard
- Observation of parity-time symmetry breaking transitions in a dissipative Floquet system of ultracold atoms
- Topological phase transition in non-Hermitian quasicrystals
- Repulsion of Resonance States and Exceptional Points
- Dynamically encircling exceptional points: Exact evolution and polarization state conversion
- Observation of an exceptional point in a chaotic optical microcavity
- Optomechanically-Induced Transparency in partiy-time-symmetric microresonators
- Quantum Noise Theory of Exceptional Point Sensors
- General description of quasi-adiabatic dynamical phenomena near exceptional points
- Signatures of three coalescing eigenfunctions
- Geometric phase around exceptional points
- Floquet dynamical quantum phase transitions
- Room temperature test of the Continuous Spontaneous Localization model using a levitated micro-oscillator
- Chiral state-conversion without encircling an exceptional point
- Cooling the Motion of a Silica Microsphere in a Magneto-Gravitational Trap in Ultra-High Vacuum
- Non-Hermitian dynamics of slowly-varying Hamiltonians
- Piecewise Adiabatic Following: General Analysis and Exactly Solvable Models