Observation of exceptional point in a PT broken non-Hermitian system simulated using a quantum circuit

• URL: http://arxiv.org/abs/2005.13828v2
• Date: Sun, 31 May 2020 15:47:48 GMT
• Title: Observation of exceptional point in a PT broken non-Hermitian system simulated using a quantum circuit
• Authors: Geng-Li Zhang, Di Liu, Xi-Ming Wang and Man-Hong Yung
• Abstract summary: 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.
• Score: 3.3229068574143534
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: Exceptional points (EPs), the degeneracy point of non-Hermitian systems, have recently attracted great attention after its ability to greatly enhance the sensitivity of micro-cavities is demonstrated experimentally. Unlike the usual degeneracies in Hermitian systems, at EPs, both the eigenenergies and eigenvectors coalesce. Although some of the exotic properties and potential applications of EPs are explored, the range of EPs studied is largely limited by the experimental capability. Some of the systems, e.g. with higher-order EPs, are hard to achieve with conventional simulations. Here we propose an extendable method to simulate non-Hermitian systems on the quantum circuits, where a wide range of EPs can be studied. The system is inherently parity-time (PT) broken due to the non-symmetric controlling effects and post-selection. A sample circuit is implemented in a quantum programming framework, and the phase transition at EP is demonstrated. Considering the scalable and flexible nature of quantum circuits, our model is capable of simulating large scale systems with higher-order EPs. We believe this work may lead to broader applications of quantum computers and provide a tool to the studies for non-Hermitian systems and the associated EPs.

Related papers

• Programmable simulation of high-order exceptional point with a trapped ion [20.656857180988926]
  We experimentally demonstrate a native programmable control to simulate a high-order non-Hermitian Hamiltonian in a multi-dimensional trapped ion system. Our results pave the way for scalable quantum simulation of high-dimensional dissipative systems.
  arXiv  Detail & Related papers  (2024-12-13T01:00:22Z)
• Dynamic manifestation of exception points in a non-Hermitian continuous model with an imaginary periodic potential [0.0]
  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.
  arXiv  Detail & Related papers  (2024-11-09T09:34:20Z)
• Topological transitions in quantum jump dynamics: Hidden exceptional points [45.58759752275849]
  Phenomena associated with exceptional points (EPs) and their applications have been extensively studied. We consider a monitored three level system and find multiple EPs in the Lindbladian eigenvalues considered as functions of a counting field. We demonstrate that these EPs signify transitions between different topological classes.
  arXiv  Detail & Related papers  (2024-08-09T18:00:02Z)
• Quantum control by the environment: Turing uncomputability, Optimization over Stiefel manifolds, Reachable sets, and Incoherent GRAPE [56.47577824219207]
  In many practical situations, the controlled quantum systems are open, interacting with the environment. In this note, we briefly review some results on control of open quantum systems using environment as a resource.
  arXiv  Detail & Related papers  (2024-03-20T10:09:13Z)
• 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)
• Measuring topological invariants for higher-order exceptional points in quantum three-mode systems [1.9334835720031431]
  Experimental characterizations of exceptional topological invariants have been restricted to second-order EPs in classical or semiclassical systems. We here propose an NH multi-mode system with higher-order EPs, each of which is underlain by a multifold-degenerate multipartite entangled eigenstate. Our results extend research of exceptional topology to fully quantum-mechanical models with multipartite entangled eigenstates.
  arXiv  Detail & Related papers  (2024-02-05T09:51:01Z)
• Universality of critical dynamics with finite entanglement [68.8204255655161]
  We study how low-energy dynamics of quantum systems near criticality are modified by finite entanglement. Our result establishes the precise role played by entanglement in time-dependent critical phenomena.
  arXiv  Detail & Related papers  (2023-01-23T19:23:54Z)
• Probing finite-temperature observables in quantum simulators of spin systems with short-time dynamics [62.997667081978825]
  We show how finite-temperature observables can be obtained with an algorithm motivated from the Jarzynski equality. We show that a finite temperature phase transition in the long-range transverse field Ising model can be characterized in trapped ion quantum simulators.
  arXiv  Detail & Related papers  (2022-06-03T18:00:02Z)
• 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)

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.