Chiral state conversion in a levitated micromechanical oscillator with in situ control of parameter loops

• URL: http://arxiv.org/abs/2010.10875v1
• Date: Wed, 21 Oct 2020 10:04:51 GMT
• Title: Chiral state conversion in a levitated micromechanical oscillator with in situ control of parameter loops
• Authors: Peiran Yin, Xiaohui Luo, Liang Zhang, Shaochun Lin, Tian Tian, Rui Li, Zizhe Wang, Changkui Duan, Pu Huang, and Jiangfeng Du
• Abstract summary: We propose an easy-controllable levitated microparticle system that carries a pair of exceptional points (EPs) and realize slow evolution of the Hamiltonian along loops in the parameter plane. 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.
• Score: 13.570675757915422
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• 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.

Related papers

• Topological transitions in quantum jump dynamics: Hidden exceptional points [45.58759752275849]
  Phenomena associated with exceptional points (EPs) have been extensively studied in relation to superconducting circuits. We consider a monitored three level system and find multiple EPs in the Lindbladian eigenvalues considered as functions of a counting field. We identify dynamical observables affected by these transitions and demonstrate how the underlying topology can be recovered from experimentally measured quantum jump distributions.
  arXiv  Detail & Related papers  (2024-08-09T18:00:02Z)
• Observation of topological transitions associated with a Weyl exceptional ring [1.877600262062263]
  Weyl exceptional rings (WER), extended from point-like singularities, are particularly interesting. We here investigate this topology in a circuit, where the WER is synthesized with a superconducting qubit controllably coupled to a decaying resonator. We demonstrate a topological transition triggered by shrinking the size of the manifold$-$a unique feature of the WER.
  arXiv  Detail & Related papers  (2024-07-01T02:08:58Z)
• Restoring Adiabatic State Transfer in Time-Modulated Non-Hermitian Systems [0.0]
  We show that adiabaticity can be achieved when dynamically winding around exceptional points (EPs) in non-Hermitian systems. Our findings offer a promise for advancing various wave manipulation protocols in both quantum and classical domains.
  arXiv  Detail & Related papers  (2024-02-23T12:53:16Z)
• Robust topological feature against non-Hermiticity in Jaynes-Cummings Model [0.0]
  We analytically analyze the topological feature manifested by the Jaynes-Cummings Model (JCM) The non-Hermiticity tilts the spin winding plane and induces out-of-plane component, while the topological feature is maintained.
  arXiv  Detail & Related papers  (2024-02-09T12:26:59Z)
• Entanglement phase transition due to reciprocity breaking without measurement or post-selection [59.63862802533879]
  EPT occurs for a system undergoing purely unitary evolution. We analytically derive the entanglement entropy out of and at the critical point for the $l=1$ and $l/N ll 1$ case.
  arXiv  Detail & Related papers  (2023-08-28T14:28:59Z)
• Parity-time-symmetric two-qubit system: entanglement and sensing [0.0]
  We study exceptional-point effects and quantum sensing in a parity-time (PT)-symmetric two-qubit system with the Ising-type interaction. We show that entanglement can be generated more quickly than the corresponding Hermitian system.
  arXiv  Detail & Related papers  (2023-05-30T13:51:49Z)
• Message-Passing Neural Quantum States for the Homogeneous Electron Gas [41.94295877935867]
  We introduce a message-passing-neural-network-based wave function Ansatz to simulate extended, strongly interacting fermions in continuous space. We demonstrate its accuracy by simulating the ground state of the homogeneous electron gas in three spatial dimensions.
  arXiv  Detail & Related papers  (2023-05-12T04:12:04Z)
• Tuning long-range fermion-mediated interactions in cold-atom quantum simulators [68.8204255655161]
  Engineering long-range interactions in cold-atom quantum simulators can lead to exotic quantum many-body behavior. Here, we propose several tuning knobs, accessible in current experimental platforms, that allow to further control the range and shape of the mediated interactions.
  arXiv  Detail & Related papers  (2022-03-31T13:32:12Z)
• Waveguide quantum optomechanics: parity-time phase transitions in ultrastrong coupling regime [125.99533416395765]
  We show that the simplest set-up of two qubits, harmonically trapped over an optical waveguide, enables the ultrastrong coupling regime of the quantum optomechanical interaction. The combination of the inherent open nature of the system and the strong optomechanical coupling leads to emerging parity-time (PT) symmetry. The $mathcalPT$ phase transition drives long-living subradiant states, observable in the state-of-the-art waveguide QED setups.
  arXiv  Detail & Related papers  (2020-07-04T11:02:20Z)
• Cat states in a driven superfluid: role of signal shape and switching protocol [62.997667081978825]
  We investigate the behavior of a one-dimensional Bose-Hubbard model whose kinetic energy is made to oscillate with zero time-average. We analyze the robustness of this unconventional ground state against variations of a number of system parameters.
  arXiv  Detail & Related papers  (2020-05-11T15:15:06Z)
• Adiabatic landscape and optimal paths in ergodic systems [0.0]
  We find optimal paths in the space of couplings controlling the system's Hamiltonian. We identify robust weakly-thermalizing and non-absorbing many-body "dark" states which are annihilated by the singular part of the AGP.
  arXiv  Detail & Related papers  (2020-04-28T18:00:04Z)

This list is automatically generated from the titles and abstracts of the papers in this site.

This site does not guarantee the quality of this site (including all information) and is not responsible for any consequences.