Random singlet phase of cold atoms coupled to a photonic crystal waveguide

Abstract

Systems consisting of cold atoms trapped near photonic crystal waveguides have recently emerged as an exciting platform for quantum atom-light interfaces. Such a system enables realization of tunable long-range interactions between internal states of atoms (spins), mediated by guided photons. Currently, experimental platforms are still limited by low filling fractions, where the atom number is much smaller than the number of sites at which atoms can potentially be trapped. Here, we show that this regime in fact enables interesting many-body quantum phenomena, which are typically associated with short-range disordered systems. As an example, we show how the system can realize the so-called "random singlet phase", in which all atoms pair into entangled singlets, but the pairing occurs over a distribution of ranges as opposed to nearest neighbors. We use a renormalization group method to obtain the distribution of spin entanglement in the random singlet phase, and show how this state can be approximately reached via adiabatic evolution from the ground state of a non-interacting Hamiltonian. We also discuss how experimentally this random singlet phase can be observed. We anticipate that this work will accelerate the route toward the exploration of strongly correlated matter in atom-nanophotonics interfaces, by avoiding the requirement of perfectly filled lattices.

arXiv comment17 pages, 5 figures. Changed the first letter in the title to uppercase, and removed the affiliations of the authors on arXiv webpage

References in corpus (41)

• The Quantum Internet
• The density-matrix renormalization group in the age of matrix product states
• Nonequilibrium dynamics of closed interacting quantum systems
• Many-body localization, thermalization, and entanglement
• Interfacing single photons and single quantum dots with photonic nanostructures
• Quantum interface between light and atomic ensembles
• An atom-by-atom assembler of defect-free arbitrary 2d atomic arrays
• Optical interface created by laser-cooled atoms trapped in the evanescent field surrounding an optical nanofiber
• Schrieffer-Wolff transformation for quantum many-body systems
• Nanophotonic quantum phase switch with a single atom
• Synthetic three-dimensional atomic structures assembled atom by atom
• Quantum many-body models with cold atoms coupled to photonic crystals
• All-Optical Routing of Single Photons by a One-Atom Switch Controlled by a Single Photon
• Atom-Light Interactions in Photonic Crystals
• Quantum optical circulator controlled by a single chirally coupled atom
• Demonstration of a state-insensitive, compensated nanofiber trap
• Subwavelength vacuum lattices and atom-atom interactions in photonic crystals
• Experimental realization of highly-efficient broadband coupling of single quantum dots to a photonic crystal waveguide
• Single-photon nonlinear optics with a quantum dot in a waveguide
• Atom-atom interactions around the band edge of a photonic crystal waveguide
• Waveguide-coupled single collective excitation of atomic arrays
• Large Bragg Reflection from One-Dimensional Chains of Trapped Atoms Near a Nanoscale Waveguide
• Quantum electrodynamics in a topological waveguide
• Fiber-optical switch controlled by a single atom
• Confined Quasiparticle Dynamics in Long-Range Interacting Quantum Spin Chains
• Coherent backscattering of light off one-dimensional atomic strings
• Quantum Spin Dynamics with Pairwise-Tunable, Long-Range Interactions
• Nonradiative interaction and entanglement between distant atoms
• Dynamics of many-body photon bound states in chiral waveguide QED
• Strong coupling of two individually controlled atoms via a nanophotonic cavity
• Correlating photons using the collective nonlinear response of atoms weakly coupled to an optical mode
• Grey-molasses optical-tweezer loading: Controlling collisions for scaling atom-array assembly
• Generation of macroscopic singlet states in a cold atomic ensemble
• Cavity-aided non-demolition measurements for atom counting and spin squeezing
• Trapping single atoms on a nanophotonic circuit with configurable tweezer lattices
• Highly nonlocal optical nonlinearities in atoms trapped near a waveguide
• Observation of dressed states of distant atoms with delocalized photons in coupled-cavities quantum electrodynamics
• Defect-free atomic array formation using Hungarian matching algorithm
• Photon molecules in atomic gases trapped near photonic crystal waveguides
• Designing exotic many-body states of atomic spin and motion in photonic crystals
• The integration of photonic crystal waveguides with atom arrays in optical tweezers