Dynamic manifestation of exception points in a non-Hermitian continuous model with an imaginary periodic potential

• URL: http://arxiv.org/abs/2411.06127v1
• Date: Sat, 09 Nov 2024 09:34:20 GMT
• Title: Dynamic manifestation of exception points in a non-Hermitian continuous model with an imaginary periodic potential
• Authors: Y. T. Wang, R. Wang, X. Z. Zhang,
• Abstract summary: This study focuses on exceptional points (EPs) in continuous systems rather than discrete non-Hermitian systems. The non-Hermiticity of the system stems from the local imaginary potential, which can be effectively achieved through particle loss. Our investigation sheds light on EP behaviors, potentially catalyzing further exploration of EP phenomena across a variety of quantum simulation setups.
• Score: 0.0
• License:
• Abstract: Exceptional points (EPs) are distinct characteristics of non-Hermitian Hamiltonians that have no counterparts in Hermitian systems. In this study, we focus on EPs in continuous systems rather than discrete non-Hermitian systems, which are commonly investigated in both the experimental and theoretical studies. The non-Hermiticity of the system stems from the local imaginary potential, which can be effectively achieved through particle loss in recent quantum simulation setups. Leveraging the discrete Fourier transform, the dynamics of EPs within the low-energy sector can be well modeled by a Stark ladder system under the influence of a non-Hermitian tilted potential. To illustrate this, we systematically investigate continuous systems with finite imaginary potential wells and demonstrate the distinctive EP dynamics across different orders. Our investigation sheds light on EP behaviors, potentially catalyzing further exploration of EP phenomena across a variety of quantum simulation setups.

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)
• Emergent non-Hermitian conservation laws at exceptional points [9.397121474087331]
  Non-Hermitian systems can manifest rich static and dynamical properties at their exceptional points (EPs) We identify yet another class of distinct phenomena that is hinged on EPs, namely, the emergence of a series of non-Hermitian conservation laws.
  arXiv  Detail & Related papers  (2024-08-02T08:11:41Z)
• 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)
• Wave-packet dynamics in non-Hermitian systems subject to complex electric fields [0.0]
  Berry phases have long been known to significantly alter the properties of periodic systems. In non-Hermitian systems, generalizations of the Berry connection have been proposed and shown to have novel effects on dynamics and transport. We show that the non-Hermiticities of both the band Hamiltonian and the external potential give rise to anomalous weight rate and velocity terms.
  arXiv  Detail & Related papers  (2024-02-02T11:06:46Z)
• Continuous phase transition induced by non-Hermiticity in the quantum contact process model [44.58985907089892]
  How the property of quantum many-body system especially the phase transition will be affected by the non-hermiticity remains unclear. We show that there is a continuous phase transition induced by the non-hermiticity in QCP. We observe that the order parameter and susceptibility display infinitely even for finite size system, since non-hermiticity endows universality many-body system with different singular behaviour from classical phase transition.
  arXiv  Detail & Related papers  (2022-09-22T01:11:28Z)
• Observation of Time-Crystalline Eigenstate Order on a Quantum Processor [80.17270167652622]
  Quantum-body systems display rich phase structure in their low-temperature equilibrium states. We experimentally observe an eigenstate-ordered DTC on superconducting qubits. Results establish a scalable approach to study non-equilibrium phases of matter on current quantum processors.
  arXiv  Detail & Related papers  (2021-07-28T18:00:03Z)
• Spin many-body phases in standard and topological waveguide QED simulators [68.8204255655161]
  We study the many-body behaviour of quantum spin models using waveguide QED setups. We find novel many-body phases different from the ones obtained in other platforms.
  arXiv  Detail & Related papers  (2021-06-22T09:44:20Z)
• Quantum Non-equilibrium Many-Body Spin-Photon Systems [91.3755431537592]
  dissertation concerns the quantum dynamics of strongly-correlated quantum systems in out-of-equilibrium states. Our main results can be summarized in three parts: Signature of Critical Dynamics, Driven Dicke Model as a Test-bed of Ultra-Strong Coupling, and Beyond the Kibble-Zurek Mechanism.
  arXiv  Detail & Related papers  (2020-07-23T19:05:56Z)
• Probing eigenstate thermalization in quantum simulators via fluctuation-dissipation relations [77.34726150561087]
  The eigenstate thermalization hypothesis (ETH) offers a universal mechanism for the approach to equilibrium of closed quantum many-body systems. Here, we propose a theory-independent route to probe the full ETH in quantum simulators by observing the emergence of fluctuation-dissipation relations. Our work presents a theory-independent way to characterize thermalization in quantum simulators and paves the way to quantum simulate condensed matter pump-probe experiments.
  arXiv  Detail & Related papers  (2020-07-20T18:00:02Z)
• Observation of exceptional point in a PT broken non-Hermitian system simulated using a quantum circuit [3.3229068574143534]
  We propose an extendable method to simulate non-Hermitian systems on the quantum circuits. Our model is capable of simulating large scale systems with higher-order EPs.
  arXiv  Detail & Related papers  (2020-05-28T07:59:58Z)

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.