Measuring topological invariants for higher-order exceptional points in quantum multipartite systems

• URL: http://arxiv.org/abs/2402.02839v1
• Date: Mon, 5 Feb 2024 09:51:01 GMT
• Title: Measuring topological invariants for higher-order exceptional points in quantum multipartite systems
• Authors: Pei-Rong Han, Wen Ning, Xin-Jie Huang, Ri-Hua Zheng, Shou-Bang Yang, Fan Wu, Zhen-Biao Yang, Qi-Ping Su, Chui-Ping Yang, Shi-Biao Zheng
• Abstract summary: We experimentally quantify the topological invariant for an EP3, by mapping out the complex eigenspectra along a loop surrounding this EP3 in the parameter space. Our results extend research of exceptional topology to fully quantum-mechanical models with multi-partite entangled eigenstates.
• Score: 1.9978167252091723
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: Owing to the presence of exceptional points (EPs), non-Hermitian (NH) systems can display intriguing topological phenomena without Hermitian analogs. However, experimental characteristics of exceptional topological invariants have been restricted to second-order EPs (EP2s) in classical or semiclassical systems. We here propose an NH multi-qubit model with higher-order EPs, each of which is underlain by a multifold-degenerate multipartite entangled eigenstate. We implement the three-qubit model by controllably coupling a superconducting qubit to two microwave resonators, one serving as a Hermitian photonic qubit while the other as an NH qubit. We experimentally quantify the topological invariant for an EP3, by mapping out the complex eigenspectra along a loop surrounding this EP3 in the parameter space. The nonclassicality of the realized topology is manifested by the observed quantum correlations in the corresponding eigenstates. Our results extend research of exceptional topology to fully quantum-mechanical models with multi-partite entangled eigenstates. We further demonstrate the non-reciprocal transmission of a single photon, during which the photon is nonlocally shared by three individual elements.

Related papers

• Exceptional-Point-Induced Nonequilibrium Entanglement Dynamics in Bosonic Networks [0.0]
  We investigate how exceptional points (EPs) control multimode entanglement in bosonic chains. Our findings provide a pathway to leveraging EPs for entanglement control and exhibit the potential of non-Hermitian physics in advancing quantum technologies.
  arXiv  Detail & Related papers  (2025-02-07T03:52:29Z)
• An exceptional surface and its topology [2.2706551270477613]
  Non-Hermitian (NH) systems can display exceptional topological defects without Hermitian counterparts. We investigate the topology for the singularities in an NH three-dimensional system. Our results pave the way for investigations of exceptional topology associated with topological defects with more than one dimension.
  arXiv  Detail & Related papers  (2025-01-08T07:28:39Z)
• Topological eigenvalues braiding and quantum state transfer near a third-order exceptional point [19.317159837094202]
  We experimentally investigate the eigenvalues braiding and state transfer arising from the encirclement of exceptional points (EP) in a non-Hermitian quantum system. Our findings offer insights into understanding non-Hermitian topological structures and the manipulation of quantum states through dynamic operations.
  arXiv  Detail & Related papers  (2024-12-19T11:02:49Z)
• 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)
• Non-Hermitian Effects in Dicke models [18.25522741939446]
  We study the manifestation of non-Hermitian effects in the Dicke model of light-matter interaction. Our findings deepen the understanding of non-Hermitian physics in light-matter interaction.
  arXiv  Detail & Related papers  (2024-11-13T06:30:10Z)
• 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)
• Higher-order topological Peierls insulator in a two-dimensional atom-cavity system [58.720142291102135]
  We show how photon-mediated interactions give rise to a plaquette-ordered bond pattern in the atomic ground state. The pattern opens a non-trivial topological gap in 2D, resulting in a higher-order topological phase hosting corner states. Our work shows how atomic quantum simulators can be harnessed to investigate novel strongly-correlated topological phenomena.
  arXiv  Detail & Related papers  (2023-05-05T10:25:14Z)
• Experimental Simulation of Symmetry-Protected Higher-Order Exceptional Points with Single Photons [8.82526178604718]
  We experimentally simulate two-dimensional topological NH band structures using single-photon interferometry. We observe topologically stable third-order EPs obtained by tuning only two real parameters in the presence of symmetry. Our work reveals the abundant and conceptually richer higher-order EPs protected by symmetries.
  arXiv  Detail & Related papers  (2023-03-21T13:22:43Z)
• Higher-order exceptional point in a blue-detuned non-Hermitian cavity optomechanical system [5.001077638364239]
  We propose a non-Hermitian three-mode optomechanical system in the blue-sideband regime for predicting the third-order EP (EP3) For the gain (loss) MR, we find only two degenerate EP3s or EP2s can be predicted by tuning enhanced coupling strength. Our proposal provides a potential way to predict higher-order EPs or multiple EP2s and study multimode quantum squeezing around EPs.
  arXiv  Detail & Related papers  (2022-05-15T05:20:59Z)
• Non-Gaussian superradiant transition via three-body ultrastrong coupling [62.997667081978825]
  We introduce a class of quantum optical Hamiltonian characterized by three-body couplings. We propose a circuit-QED scheme based on state-of-the-art technology that implements the considered model.
  arXiv  Detail & Related papers  (2022-04-07T15:39:21Z)
• Neural-Network Quantum States for Periodic Systems in Continuous Space [66.03977113919439]
  We introduce a family of neural quantum states for the simulation of strongly interacting systems in the presence of periodicity. For one-dimensional systems we find very precise estimations of the ground-state energies and the radial distribution functions of the particles. In two dimensions we obtain good estimations of the ground-state energies, comparable to results obtained from more conventional methods.
  arXiv  Detail & Related papers  (2021-12-22T15:27:30Z)
• Quantum correlations, entanglement spectrum and coherence of two-particle reduced density matrix in the Extended Hubbard Model [62.997667081978825]
  We study the ground state properties of the one-dimensional extended Hubbard model at half-filling. In particular, in the superconducting region, we obtain that the entanglement spectrum signals a transition between a dominant singlet (SS) to triplet (TS) pairing ordering in the system.
  arXiv  Detail & Related papers  (2021-10-29T21:02:24Z)
• Maximal quantum entanglement at exceptional points via unitary and thermal dynamics [0.3441021278275805]
  Minimal, open quantum systems governed by non-Hermitian Hamiltonians have been realized across multiple platforms. We investigate the dynamics of open systems with Hermitian or anti-Hermitian Hamiltonians, both of which can be implemented in such platforms.
  arXiv  Detail & Related papers  (2021-09-15T18:08:14Z)
• Quantum transport and localization in 1d and 2d tight-binding lattices [39.26291658500249]
  Particle transport and localization phenomena in condensed-matter systems can be modeled using a tight-binding lattice Hamiltonian. Here, we experimentally study quantum transport in one-dimensional and two-dimensional tight-binding lattices, emulated by a fully controllable $3 times 3$ array of superconducting qubits.
  arXiv  Detail & Related papers  (2021-07-11T12:36:12Z)
• Quantum Non-Hermitian Topological Sensors [0.0]
  We investigate in the framework of quantum noise theory how the striking boundary-sensitivity recently discovered in the context of non-Hermitian (NH) topological phases may be harnessed to devise novel quantum sensors.
  arXiv  Detail & Related papers  (2021-06-09T18:00:06Z)
• Classification of three-photon states in waveguide quantum electrodynamics [77.34726150561087]
  We show that the rich interplay of effects from order, chaos to localisation found in two-photon systems extends naturally to three-photon systems. There also exist interaction-induced localised states unique to three-photon systems such as bound trimers, corner states and trimer edge states.
  arXiv  Detail & Related papers  (2020-12-07T23:41:09Z)
• Unraveling the topology of dissipative quantum systems [58.720142291102135]
  We discuss topology in dissipative quantum systems from the perspective of quantum trajectories. We show for a broad family of translation-invariant collapse models that the set of dark state-inducing Hamiltonians imposes a nontrivial topological structure on the space of Hamiltonians.
  arXiv  Detail & Related papers  (2020-07-12T11:26:02Z)
• State preparation and measurement in a quantum simulation of the O(3) sigma model [65.01359242860215]
  We show that fixed points of the non-linear O(3) sigma model can be reproduced near a quantum phase transition of a spin model with just two qubits per lattice site. We apply Trotter methods to obtain results for the complexity of adiabatic ground state preparation in both the weak-coupling and quantum-critical regimes. We present and analyze a quantum algorithm based on non-unitary randomized simulation methods.
  arXiv  Detail & Related papers  (2020-06-28T23:44:12Z)
• Quantum Hall phase emerging in an array of atoms interacting with photons [101.18253437732933]
  Topological quantum phases underpin many concepts of modern physics. Here, we reveal that the quantum Hall phase with topological edge states, spectral Landau levels and Hofstadter butterfly can emerge in a simple quantum system. Such systems, arrays of two-level atoms (qubits) coupled to light being described by the classical Dicke model, have recently been realized in experiments with cold atoms and superconducting qubits.
  arXiv  Detail & Related papers  (2020-03-18T14:56:39Z)

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.