Dimerization of many-body subradiant states in waveguide quantum electrodynamics

Abstract

We study theoretically subradiant states in the array of atoms coupled to photons propagating in a one-dimensional waveguide focusing on the strongly interacting many-body regime with large excitation fill factor $f$. We introduce a generalized many-body entropy of entanglement based on exact numerical diagonalization followed by a high-order singular value decomposition. This approach has allowed us to visualize and understand the structure of a many-body quantum state. We reveal the breakdown of fermionized subradiant states with increase of $f$ with emergence of short-ranged dimerized antiferromagnetic correlations at the critical point $f=1/2$ and the complete disappearance of subradiant states at $f>1/2$.

arXiv comment6 pages, 4 figures

References in corpus (26)

• The density-matrix renormalization group in the age of matrix product states
• Area laws for the entanglement entropy - a review
• A Practical Introduction to Tensor Networks: Matrix Product States and Projected Entangled Pair States
• Strongly interacting photons in one-dimensional continuum
• Exponential improvement in photon storage fidelities using subradiance and "selective radiance" in atomic arrays
• Subradiance in a Large Cloud of Cold Atoms
• Quantum Optics of Chiral Spin Networks
• A subradiant optical mirror formed by a single structured atomic layer
• Input-output theory for waveguide QED with an ensemble of inhomogeneous atoms
• Quantum Spin Dimers from Chiral Dissipation in Cold-Atom Chains
• Quantum dynamics of propagating photons with strong interactions: a generalized input-output formalism
• Theory of Subradiant States of a One-Dimensional Two-Level Atom Chain
• Subradiant states of quantum bits coupled to a one-dimensional waveguide
• Many-body Signatures of Collective Decay in Atomic Chains
• Critical open-system dynamics in a one-dimensional optical lattice clock
• Inelastic scattering of photon pairs in qubit arrays with subradiant states
• Many-body localization in waveguide QED
• Subradiant Dimer Excitations of Emitter Chains Coupled to a 1D Waveguide
• Extremely subradiant states in a periodic one-dimensional atomic array
• Waveguide Bandgap Engineering with an Array of Superconducting Qubits
• Subradiant emission from regular atomic arrays: universal scaling of decay rates from the generalized Bloch theorem
• Quasi-flat band enables subradiant two-photon bound states
• Subradiance-protected excitation spreading in the generation of collimated photon emission from an atomic array
• Modelling quantum light-matter interactions in waveguide-QED with retardation and a time-delayed feedback: matrix product states versus a space-discretized waveguide model
• Spontaneous polariton currents in periodic lateral chains
• Classification of three-photon states in waveguide quantum electrodynamics