Emerging Non-Hermitian Topology in a Chiral Driven-Dissipative Bose-Hubbard Model

• URL: http://arxiv.org/abs/2411.08965v1
• Date: Wed, 13 Nov 2024 19:00:34 GMT
• Title: Emerging Non-Hermitian Topology in a Chiral Driven-Dissipative Bose-Hubbard Model
• Authors: Laszlo Rassaert, Tomás Ramos, Tommaso Roscilde, Diego Porras,
• Abstract summary: We introduce a driven-dissipative Bose-Hubbard chain describing coupled lossy photonic modes. We numerically prove that the steady-state solution is stabilized by an inhomogeneous profile of the driving amplitude. Our work shows the emergence of non-Hermitian topological phases in an interacting model that can be naturally implemented with superconducting circuits.
• Score: 0.0
• License:
• Abstract: We introduce a driven-dissipative Bose-Hubbard chain describing coupled lossy photonic modes, in which time-reversal symmetry is broken by a coherent drive with a uniform phase gradient. We investigate this model by means of a Gaussian variational ansatz and numerically prove that the steady-state solution is stabilized by an inhomogeneous profile of the driving amplitude, which damps out boundary effects. Our calculations unveil a non-equilibrium phase diagram showing low- and high-density phases for photons separated by a phase coexistence region in which the system exhibits the phenomenon of topological amplification and is characterized by a finite non-Hermitian winding number. Our work shows the emergence of non-Hermitian topological phases in an interacting model that can be naturally implemented with superconducting circuits.

Related papers

• Nonequilibrium Nonlinear Effects and Dynamical Boson Condensation in a Driven-Dissipative Wannier-Stark Lattice [0.0]
  Driven-dissipative light-matter systems can exhibit collective nonequilibrium phenomena due to loss and gain processes. We numerically predict a diverse range of stationary and non-stationary states resulting from the interplay of the tilt, tunneling, on-site interactions and loss and gain processes.
  arXiv  Detail & Related papers  (2024-04-29T12:28:52Z)
• Optomechanical realization of the bosonic Kitaev-Majorana chain [0.0]
  We report the experimental realization of its bosonic analogue in a nano-optomechanical network. We observe several extraordinary phenomena in the bosonic dynamics and transport. We present an experimental demonstration of an exponentially enhanced response to a small perturbation as a consequence of non-Hermitian topology.
  arXiv  Detail & Related papers  (2023-09-11T21:10:22Z)
• Nonlinear dynamics of the dissipative anisotropic two-photon Dicke model [7.830055568305782]
  We study the semiclassical limit of the anisotropic two-photon Dicke model with a dissipative bosonic field. The presence of localized fixed points reflects the spectral collapse of the closed-system Hamiltonian.
  arXiv  Detail & Related papers  (2022-07-13T08:06:41Z)
• Photoinduced prethermal order parameter dynamics in the two-dimensional large-$N$ Hubbard-Heisenberg model [77.34726150561087]
  We study the microscopic dynamics of competing ordered phases in a two-dimensional correlated electron model. We simulate the light-induced transition between two competing phases.
  arXiv  Detail & Related papers  (2022-05-13T13:13:31Z)
• Quantum critical behavior of entanglement in lattice bosons with cavity-mediated long-range interactions [0.0]
  We analyze the ground-state entanglement entropy of the extended Bose-Hubbard model with infinite-range interactions. This model describes the low-energy dynamics of ultracold bosons tightly bound to an optical lattice and dispersively coupled to a cavity mode.
  arXiv  Detail & Related papers  (2022-04-16T04:10:57Z)
• 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)
• Topological transitions with continuously monitored free fermions [68.8204255655161]
  We show the presence of a topological phase transition that is of a different universality class than that observed in stroboscopic projective circuits. We find that this entanglement transition is well identified by a combination of the bipartite entanglement entropy and the topological entanglement entropy.
  arXiv  Detail & Related papers  (2021-12-17T22:01:54Z)
• Geometric phase in a dissipative Jaynes-Cummings model: theoretical explanation for resonance robustness [68.8204255655161]
  We compute the geometric phases acquired in both unitary and dissipative Jaynes-Cummings models. In the dissipative model, the non-unitary effects arise from the outflow of photons through the cavity walls. We show the geometric phase is robust, exhibiting a vanishing correction under a non-unitary evolution.
  arXiv  Detail & Related papers  (2021-10-27T15:27:54Z)
• Rotating Majorana Zero Modes in a disk geometry [75.34254292381189]
  We study the manipulation of Majorana zero modes in a thin disk made from a $p$-wave superconductor. We analyze the second-order topological corner modes that arise when an in-plane magnetic field is applied. We show that oscillations persist even in the adiabatic phase because of a frequency independent coupling between zero modes and excited states.
  arXiv  Detail & Related papers  (2021-09-08T11:18:50Z)
• Topological delocalization transitions and mobility edges in the nonreciprocal Maryland model [0.0]
  Non-Hermitian effects could trigger spectrum, localization and topological phase transitions in quasiperiodic lattices. We propose a non-Hermitian extension of the Maryland model, which forms a paradigm in the study of localization and quantum chaos. Explicit expressions of the complex energy dispersions, phase boundaries and mobility edges are found.
  arXiv  Detail & Related papers  (2021-08-16T15:35:52Z)
• Qubit-photon bound states in topological waveguides with long-range hoppings [62.997667081978825]
  Quantum emitters interacting with photonic band-gap materials lead to the appearance of qubit-photon bound states. We study the features of the qubit-photon bound states when the emitters couple to the bulk modes in the different phases. We consider the coupling of emitters to the edge modes appearing in the different topological phases.
  arXiv  Detail & Related papers  (2021-05-26T10:57:21Z)

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.