Localization and scattering of a photon in quasiperiodic qubit arrays

• URL: http://arxiv.org/abs/2601.21263v1
• Date: Thu, 29 Jan 2026 04:54:15 GMT
• Title: Localization and scattering of a photon in quasiperiodic qubit arrays
• Authors: Xinyin Zhang, Yongguan Ke, Zhengzhi Peng, Zuorui Chen, Wenjie Liu, Li Zhang, Chaohong Lee,
• Abstract summary: We study the localization and scattering of a single photon in a waveguide coupled to qubit arrays with quasiperiodic spacings.<n>As the quasiperiodic strength increases, localized subradiant states with extremely long lifetime appear around the resonant frequency.
• Score: 5.34823306490901
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: We study the localization and scattering of a single photon in a waveguide coupled to qubit arrays with quasiperiodic spacings. As the quasiperiodic strength increases, localized subradiant states with extremely long lifetime appear around the resonant frequency and form a continuum band. In stark contrast to the fully disordered waveguide QED where all states are localized, we analytically find that the fraction of localized states is up to $(3-\sqrt{5})/2$ when the modulation frequency is $(1+\sqrt{5})/2$. The localized and delocalized states can be related to excitation in flat and curved inverse energy bands under the approximation of large-period modulation. When the quasiperiodic strength is weak, an extended subradiant state can support the transmission of a photon. However, as the quasiperiodic strength increases, localized subradiant states can completely block the transmission of a single photon in resonance with the subradiant states, and enhance the overall reflection. At a fixed quasiperiodic strength, we also find mobility edge in transmission spectrum, below and above which the transmission is either turned on and off as system size increases. Our work give new insights into the localization in non-Hermitian systems.

Related papers

• Non-Markovian dynamics of a qubit due to accelerated light in a lattice [0.0]
  We investigate the emission of a qubit weakly coupled to a one-band coupled-cavity array where, due to an engineered gradient in the cavity, photons are effectively accelerated by a synthetic force F.<n>For strong F, a reversible emission described by an effective Jaynes-Cummings model occurs, causing a chiral time-periodic excitation of an extensive region of the array.<n>For weak values of F instead, a complex non-Markovian decay with revivals shows up.
  arXiv  Detail & Related papers  (2025-03-24T18:00:01Z)
• Dipole-dipole interactions mediated by a photonic flat band [44.99833362998488]
  We study the photon-dipole interactions between emitters dispersively coupled to the photonic analogue of a flat band (FB)<n>We show that the strength of such photon-mediated interactions decays exponentially with distance with a characteristic localization length.<n>We find that the localization length grows with the overlap between CLSs according to an analytically-derived universal scaling law valid for a large class of FBs both in 1D and 2D.
  arXiv  Detail & Related papers  (2024-05-30T18:00:05Z)
• Modifying cooperative decay via disorder in atom arrays [0.0]
  disorder provides little advantage in generating darker subradiant states in free space on average. One could potentially change interatomic spacing within the array to engineer specific subradiant states.
  arXiv  Detail & Related papers  (2023-09-08T15:30:35Z)
• Macroscopic Singlet, Triplet, and Colour-Charged States of Coherent Photons [0.0]
  A ray of photons, emitted from a laser source, is in a coherent state, where macroscopic number of photons are degenerated in the same quantum state. We experimentally demonstrate that we can construct generators of rotations for the quantum states of coherent photons.
  arXiv  Detail & Related papers  (2023-03-30T09:09:02Z)
• Measurement-Induced State Transitions in a Superconducting Qubit: Within the Rotating Wave Approximation [33.65845920594661]
  We study resonant transitions between levels in the coupled qubit-resonator system that exhibit noisy behavior when measured repeatedly in time. Our results suggest the transmon is excited to levels near the top of its cosine potential following a state transition.
  arXiv  Detail & Related papers  (2022-12-09T19:48:55Z)
• Dynamics of Transmon Ionization [94.70553167084388]
  We numerically explore the dynamics of a driven transmon-resonator system under strong and nearly resonant measurement drives. We find clear signatures of transmon ionization where the qubit escapes out of its cosine potential.
  arXiv  Detail & Related papers  (2022-03-21T18:00:15Z)
• Driven anti-Bragg subradiant states in waveguide quantum electrodynamics [91.3755431537592]
  We study theoretically driven quantum dynamics in periodic arrays of two-level qubits coupled to the waveguide. We demonstrate, that strongly subradiant eigenstates of the master equation for the density matrix emerge under strong coherent driving for arrays with the anti-Bragg periods.
  arXiv  Detail & Related papers  (2022-02-21T11:36:55Z)
• Dimerization of many-body subradiant states in waveguide quantum electrodynamics [137.6408511310322]
  We study theoretically subradiant states in the array of atoms coupled to photons propagating in a one-dimensional waveguide. We introduce a generalized many-body entropy of entanglement based on exact numerical diagonalization. We reveal the breakdown of fermionized subradiant states with increase of $f$ with emergence of short-ranged dimerized antiferromagnetic correlations.
  arXiv  Detail & Related papers  (2021-06-17T12:17:04Z)
• Tunable Anderson Localization of Dark States [146.2730735143614]
  We experimentally study Anderson localization in a superconducting waveguide quantum electrodynamics system. We observe an exponential suppression of the transmission coefficient in the vicinity of its subradiant dark modes. The experiment opens the door to the study of various localization phenomena on a new platform.
  arXiv  Detail & Related papers  (2021-05-25T07:52:52Z)
• Subradiance in dilute atomic ensembles: Role of pairs and multiple scattering [0.0]
  We study the slow (subradiant) decay of the fluorescence of motionless atoms after a weak pulsed excitation. We show that, in the linear-optics regime, the slow decay rate can be dominated by close pairs of atoms forming superradiant and subradiant states. For a large-enough resonant optical depth and at later time, the dynamics is dominated by collective many-body effects.
  arXiv  Detail & Related papers  (2020-12-19T11:10:04Z)
• Collective spontaneous emission of two entangled atoms near an oscillating mirror [50.591267188664666]
  We consider the cooperative spontaneous emission of a system of two identical atoms, interacting with the electromagnetic field in the vacuum state. Using time-dependent theory, we investigate the spectrum of the radiation emitted by the two-atom system. We show that it is modulated in time, and that the presence of the oscillating mirror can enhance or inhibit the decay rate.
  arXiv  Detail & Related papers  (2020-10-07T06:48:20Z)
• Engineering multipartite entangled states in doubly pumped parametric down-conversion processes [68.8204255655161]
  We investigate the quantum state generated by optical parametric down-conversion in a $chi(2) $ medium driven by two modes. The analysis shows the emergence of multipartite, namely 3- or 4-partite, entangled states in a subset of the modes generated by the process.
  arXiv  Detail & Related papers  (2020-07-23T13:53:12Z)

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.