Subradiant edge states in an atom chain with waveguide-mediated hopping

• URL: http://arxiv.org/abs/2205.13853v4
• Date: Fri, 9 Sep 2022 10:50:37 GMT
• Title: Subradiant edge states in an atom chain with waveguide-mediated hopping
• Authors: Ciaran McDonnell, Beatriz Olmos
• Abstract summary: We analyze a system formed by two chains of identical emitters coupled to a waveguide, whose guided modes induce excitation hopping. We find that, in the single excitation limit, the bulk topological properties of the Hamiltonian that describes the coherent dynamics of the system are identical to the ones of a one-dimensional Su-Schrieffer-Heeger model. We analytically identify parameter regimes where edge states arise which are fully localized to the boundaries of the chain, independently of the system size.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: We analyze the topological and dynamical properties of a system formed by two chains of identical emitters coupled to a waveguide, whose guided modes induce all-to-all excitation hopping. We find that, in the single excitation limit, the bulk topological properties of the Hamiltonian that describes the coherent dynamics of the system are identical to the ones of a one-dimensional Su-Schrieffer-Heeger (SSH) model. However, due to the long-range character of the exchange interactions, we find weakening of the bulk-boundary correspondence. This is illustrated by the variation of the localization length and mass gap of the edge states encountered as we vary the lattice constant and offset between the chains. Most interestingly, we analytically identify parameter regimes where edge states arise which are fully localized to the boundaries of the chain, independently of the system size. These edge states are shown to be not only robust against positional disorder of the atoms in the chain, but also subradiant, i.e., dynamically stable even in the presence of inevitable dissipation processes, establishing the capacity of waveguide QED systems for the realization of symmetry protected topological phases.

Related papers

• Topological, multi-mode amplification induced by non-reciprocal, long-range dissipative couplings [41.94295877935867]
  We show the emergence of unconventional, non-reciprocal, long-range dissipative couplings induced by the interaction of the bosonic chain with a chiral, multi-mode channel. We also show how these couplings can also stabilize topological amplifying phases in the presence of local parametric drivings.
  arXiv  Detail & Related papers  (2024-05-16T15:16:33Z)
• Topological zero modes and edge symmetries of metastable Markovian bosonic systems [0.0]
  We study tight bosonic analogs of the Majorana and Dirac edge modes characteristic of topological superconductors and insulators. We show the possibility of anomalous parity dynamics for a bosonic cat state prepared in a topologically metastable system. Our results point to a new paradigm of genuine symmetry-protected topological physics in free bosons.
  arXiv  Detail & Related papers  (2023-06-23T18:00:03Z)
• Quantum quenches in driven-dissipative quadratic fermionic systems with parity-time symmetry [0.0]
  We study the quench dynamics of noninteracting fermionic quantum many-body systems that are subjected to Markovian drive and dissipation. We show that transitions between dynamical pumping phases give rise to a new type of dynamical critical behavior of the rates of directional pumping.
  arXiv  Detail & Related papers  (2023-04-04T14:41:34Z)
• Topological multi-mode waveguide QED [49.1574468325115]
  We show how to take advantage of topologically protected propagating modes by interfacing them with quantum emitters. Such capabilities pave the way for generating quantum gates among topologically protected photons as well as generating more complex entangled states of light in topological channels.
  arXiv  Detail & Related papers  (2022-07-05T14:48:50Z)
• Decimation technique for open quantum systems: a case study with driven-dissipative bosonic chains [62.997667081978825]
  Unavoidable coupling of quantum systems to external degrees of freedom leads to dissipative (non-unitary) dynamics. We introduce a method to deal with these systems based on the calculation of (dissipative) lattice Green's function. We illustrate the power of this method with several examples of driven-dissipative bosonic chains of increasing complexity.
  arXiv  Detail & Related papers  (2022-02-15T19:00:09Z)
• 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)
• Long-lived period-doubled edge modes of interacting and disorder-free Floquet spin chains [68.8204255655161]
  We show that even in the absence of disorder, and in the presence of bulk heating, $pi$ edge modes are long lived. A tunneling estimate for the lifetime is obtained by mapping the stroboscopic time-evolution to dynamics of a single particle in Krylov subspace.
  arXiv  Detail & Related papers  (2021-05-28T12:13:14Z)
• Self-consistent theory of mobility edges in quasiperiodic chains [62.997667081978825]
  We introduce a self-consistent theory of mobility edges in nearest-neighbour tight-binding chains with quasiperiodic potentials. mobility edges are generic in quasiperiodic systems which lack the energy-independent self-duality of the commonly studied Aubry-Andr'e-Harper model.
  arXiv  Detail & Related papers  (2020-12-02T19:00:09Z)
• Devil's staircase of topological Peierls insulators and Peierls supersolids [0.0]
  We consider a mixture of ultracold bosonic atoms on a one-dimensional lattice described by the XXZ-Bose-Hubbard model. We show how the inclusion of antiferromagnetic interactions among the spin degrees of freedom generates a Devil's staircase of symmetry-protected topological phases.
  arXiv  Detail & Related papers  (2020-11-18T11:58:16Z)
• Dynamical solitons and boson fractionalization in cold-atom topological insulators [110.83289076967895]
  We study the $mathbbZ$ Bose-Hubbard model at incommensurate densities. We show how defects in the $mathbbZ$ field can appear in the ground state, connecting different sectors. Using a pumping argument, we show that it survives also for finite interactions.
  arXiv  Detail & Related papers  (2020-03-24T17:31:34Z)
• Topological quantum optical states in quasiperiodic cold atomic chains [0.0]
  Topological quantum optical states in one-dimensional (1D) quasiperiodic cold atomic chains are studied in this work. We propose that by introducing incommensurate modulations on the interatomic distances of 1D periodic atomic chains, the Aubry-Andr'e-Harper model can be mimicked. It is found that the present system indeed supports nontrivial topological states localized over the boundaries.
  arXiv  Detail & Related papers  (2020-01-15T03:53:54Z)

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.