Liouvillian gap closing--bound states in the continuum connection and diverse dynamics in a giant-atom waveguide QED setup

• URL: http://arxiv.org/abs/2602.00468v1
• Date: Sat, 31 Jan 2026 02:43:44 GMT
• Title: Liouvillian gap closing--bound states in the continuum connection and diverse dynamics in a giant-atom waveguide QED setup
• Authors: Hongwei Yu, Mingzhu Weng, Zhihai Wang, Jin Wang,
• Abstract summary: In open quantum systems, reduced dynamics is commonly described by a master equation, whose Liouvillian gap closing (LGC) typically signals the emergence of decoherence-free subspace.<n>By contrast, the dynamics of the full system-environment compound is governed by the underlying Hamiltonian spectrum, where bound states in the continuum (BICs) can protect long-lived quantum resources.<n>Here we bridge this gap in a paradigmatic giant-atom waveguide platform and show that the occurrence of LGC necessarily benchmarks the presence of a BIC in the full Hamiltonian description.
• Score: 11.904614234052085
• License: http://creativecommons.org/publicdomain/zero/1.0/
• Abstract: In open quantum systems, reduced dynamics is commonly described by a master equation, whose Liouvillian gap closing (LGC) typically signals the emergence of decoherence-free subspace. By contrast, the dynamics of the full system-environment compound is governed by the underlying Hamiltonian spectrum, where bound states in the continuum (BICs) can protect long-lived quantum resources. Despite these parallel perspectives, the relation between LGC and BIC formation has remained largely unexplored. Here we bridge this gap in a paradigmatic giant-atom waveguide platform and show that the occurrence of LGC necessarily benchmarks the presence of a BIC in the full Hamiltonian description. By engineering the giant-atom geometry, we further demonstrate rich dynamical regimes-including Rabi oscillations, fractional decay, and complete exponential relaxation-depending on the number of supported BICs, which can be tuned from three to zero. Remarkably, when two BICs become frequency-degenerate, the long-time dynamics approaches a steady state rather than exhibiting persistent oscillations. Our results establish a direct spectral-dynamical connection between effective Markovian and underlying non-Markovian descriptions, and provide a route toward flexible control of open-system dynamics.

Related papers

• Exact dynamics and bound states of a cavity coupled to a two-dimensional reservoir [3.777322343288414]
  We show a robust scheme for quantum information storage based on bound states in a two-dimensional coupled-cavity array.<n>In the weak-coupling regime, the BIC dominates, enabling perfect and persistent information storage.<n>Results, valid at both zero and finite reservoir temperatures, highlight the potential of photonic lattices for scalable all-optical decoherence-free quantum memory platforms.
  arXiv  Detail & Related papers  (2026-01-19T09:35:33Z)
• Realization of Trapped Ion Dynamics in the Strong-Field Regime and Non-Markovianity [33.781064984238775]
  We experimentally investigate the dynamics of a trapped ion where the Rabi frequency (Omega) approaches the vibrational mode frequency (nu)<n>Using quantum state tomography, we reconstruct the density matrix and track its evolution to assess non-Markovianity.<n>Our findings establish a pathway for using trapped-ion platforms to investigate non-Markovianity, coherent control, and the fundamental behavior of open quantum systems in extreme regimes.
  arXiv  Detail & Related papers  (2025-10-23T11:25:09Z)
• Quantum and Semi-Classical Signatures of Dissipative Chaos in the Steady State [0.40498500266986387]
  We investigate the quantum-classical correspondence in open quantum many-body systems using the SU(3) Bose-Hubbard trimer as a minimal model.<n>We show that classical dynamical behavior, as quantified by the sign of the Lyapunov exponent, governs the level statistics of the steady-state density matrix.
  arXiv  Detail & Related papers  (2025-06-17T20:21:06Z)
• Rabi oscillation and fractional population via the bound states in the continuum in a giant atom waveguide QED setup [7.101991690104584]
  We study the dynamics of two giant atoms interacting with a coupled resonator waveguide (CRW) The distinct atomic configurations determine the number of bound states in the continuum (BIC) Our results show that when the system supports two BICs, Rabi oscillations dominate the dynamics, whereas fractional population dynamics emerge in the presence of a single BIC.
  arXiv  Detail & Related papers  (2024-11-21T12:27:45Z)
• Topological, multi-mode amplification induced by non-reciprocal, long-range dissipative couplings [39.58172554437255]
  We show the emergence of unconventional, non-reciprocal, long-range dissipative couplings induced by the interaction of the bosonic chain with a chiral, multimode channel.<n>We also show how these couplings can also display topological amplifying phases that are dynamically stable in the presence of local parametric drivings.
  arXiv  Detail & Related papers  (2024-05-16T15:16:33Z)
• Solvable entanglement dynamics in quantum circuits with generalized space-time duality [0.0]
  We study the non-equilibrium dynamics of kicked Ising models in $1+1$ dimensions.<n>We find rich phenomenology ranging from linear growth at half the maximal speed allowed by locality to entanglement growth with saturation to extensive but sub-maximal entropy.
  arXiv  Detail & Related papers  (2023-12-19T15:23:55Z)
• Slow semiclassical dynamics of a two-dimensional Hubbard model in disorder-free potentials [77.34726150561087]
  We show that introduction of harmonic and spin-dependent linear potentials sufficiently validates fTWA for longer times. In particular, we focus on a finite two-dimensional system and show that at intermediate linear potential strength, the addition of a harmonic potential and spin dependence of the tilt, results in subdiffusive dynamics.
  arXiv  Detail & Related papers  (2022-10-03T16:51:25Z)
• Growth of entanglement of generic states under dual-unitary dynamics [77.34726150561087]
  Dual-unitary circuits are a class of locally-interacting quantum many-body systems. In particular, they admit a class of solvable" initial states for which, in the thermodynamic limit, one can access the full non-equilibrium dynamics. We show that in this case the entanglement increment during a time step is sub-maximal for finite times, however, it approaches the maximal value in the infinite-time limit.
  arXiv  Detail & Related papers  (2022-07-29T18:20:09Z)
• Genuine Multipartite Correlations in a Boundary Time Crystal [56.967919268256786]
  We study genuine multipartite correlations (GMC's) in a boundary time crystal (BTC) We analyze both (i) the structure (orders) of GMC's among the subsystems, as well as (ii) their build-up dynamics for an initially uncorrelated state.
  arXiv  Detail & Related papers  (2021-12-21T20:25:02Z)
• 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)
• Memory-Critical Dynamical Buildup of Phonon-Dressed Majorana Fermions [72.46695228124449]
  We study a one-dimensional polaronic topological superconductor with phonon-dressed $p$-wave pairing. We show that when the memory depth increases, the Majorana edge dynamics transits from relaxing monotonically to a plateau of substantial value into a collapse-and-buildup behavior.
  arXiv  Detail & Related papers  (2020-06-24T07:32:51Z)
• Feedback-induced instabilities and dynamics in the Jaynes-Cummings model [62.997667081978825]
  We investigate the coherence and steady-state properties of the Jaynes-Cummings model subjected to time-delayed coherent feedback. The introduced feedback qualitatively modifies the dynamical response and steady-state quantum properties of the system.
  arXiv  Detail & Related papers  (2020-06-20T10:07:01Z)

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.