Simulating quantum light propagation through atomic ensembles using matrix product states
arXiv:1702.05954 · doi:10.1038/s41467-017-01416-4
Abstract
A powerful method to interface quantum light with matter is to propagate the light through an ensemble of atoms. Recently, a number of such interfaces have emerged, most prominently Rydberg ensembles, that enable strong nonlinear interactions between propagating photons. A largely open problem is whether these systems produce exotic many-body states of light and developing new tools to study propagation in the large photon number limit is highly desirable. Here, we provide a method based on a "spin model" that maps quasi one-dimensional (1D) light propagation to the dynamics of an open 1D interacting spin system, where all photon correlations are obtained from those of the spins. The spin dynamics in turn are numerically solved using the toolbox of matrix product states. We apply this formalism to investigate vacuum induced transparency, wherein the different photon number components of a pulse propagate with number-dependent group velocity and separate at output.
References in corpus (17)
- The density-matrix renormalization group in the age of matrix product states
- Matrix Product States, Projected Entangled Pair States, and variational renormalization group methods for quantum spin systems
- Matrix Product Density Operators: Simulation of finite-T and dissipative systems
- Quantum trajectories and open many-body quantum systems
- Exciton-polariton condensates
- Matrix product states represent ground states faithfully
- Stationary pulses of light in an atomic medium
- Observation of Resonant Photon Blockade at Microwave Frequencies using Correlation Function Measurements
- Universal Approach to Optimal Photon Storage in Atomic Media
- Atomic three-body loss as a dynamical three-body interaction
- Photon storage in Lambda-type optically dense atomic media. II. Free-space model
- Variational Matrix Product Operators for the Steady State of Dissipative Quantum Systems
- Crystallization of strongly interacting photons in a nonlinear optical fiber
- Input-Output Formalism for Few-Photon Transport: A Systematic Treatment Beyond Two Photons
- Fractional Quantum Hall States of Rydberg Polaritons
- Quantum and Nonlinear Optics in Strongly Interacting Atomic Ensembles
- Three dimensional theory for light matter interaction
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- Coherent Scattering of Near-Resonant Light by a Dense, Microscopic Cloud of Cold Two-Level Atoms: Experiment versus Theory
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- Arrays of strongly-coupled atoms in a one-dimensional waveguide
- Quantum interactions with pulses of radiation
- Gaussian Quantum Trajectories for the Variational Simulation of Open Quantum-Optical Systems
- Chiral Interaction Induced Near-Perfect Photon Blockade
- Photon propagation through dissipative Rydberg media at large input rates
- Quantum Pyragas control: Selective-control of individual photon probabilities
- Quantum Interference and Complex Photon Statistics in Waveguide QED
- Self-Ordering of Individual Photons in Waveguide QED and Rydberg-Atom Arrays
- Microwave transmission through an artificial atomic chain coupled to a superconducting photonic crystal
- Emergence of solitons from many-body photon bound states in quantum nonlinear media
- Green function formalism for resonant interaction of x-rays with nuclei in structured media
- Theoretical methods to treat a single dissipative bosonic mode coupled globally to an interacting many body system
- Cluster Gutzwiller Monte Carlo approach for a critical dissipative spin model
- The Heisenberg limit for laser coherence
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- Atom-Photon Spin-Exchange Collisions Mediated by Rydberg Dressing
- Light propagation through one-dimensional interacting open quantum systems
- Efficient simulation of ultrafast quantum nonlinear optics with matrix product states
- Analytical approach to higher-order correlation functions in U(1) symmetric systems
- Transient dynamics of the quantum light retrieved from Rydberg polaritons
- Effects of retardation on many-body superradiance in chiral waveguide QED
- Free-Fermion Multiply Excited Eigenstates and Their Experimental Signatures in 1D Arrays of Two-Level Atoms
- Purcell effect with extended sources: The role of the cross density of states
- A tensor network approach to sensing quantum light-matter interactions
- Dynamics of multiple atoms in one-dimensional fields
- Superradiance in dynamically modulated Tavis-Cumming model with spectral disorder
- Quantum jump statistics with a shifted jump operator in a chiral waveguide
- Collisional open quantum dynamics with a generally correlated environment: Exact solvability in tensor networks
- Towards nonlinear optics with Mössbauer nuclei using x-ray cavities
- Resonant enhancement of three-body loss between strongly interacting photons
- Exact Many-body Quantum Dynamics in One-Dimensional Baths via Collective Spins
- Efficient inference of quantum system parameters by Approximate Bayesian Computation
- Using matrix-product states for time-series machine learning