Cavity-quantum-electrodynamical toolbox for quantum magnetism

Abstract

The recent experimental observation of spinor self-ordering of ultracold atoms in optical resonators has set the stage for the exploration of emergent magnetic orders in quantum-gas--cavity systems. Based on this platform, we introduce a generic scheme for the implementation of long-range quantum spin Hamiltonians composed of various types of couplings, including Heisenberg and Dzyaloshinskii-Moriya interactions. Our model is comprised of an effective two-component Bose-Einstein condensate, driven by two classical pump lasers and coupled to a single dynamic mode of a linear cavity in a double $\Lambda$ scheme. Cavity photons mediate the long-range spin-spin interactions with spatially modulated coupling coefficients, where the latter ones can be tuned by modifying spatial profiles of the pump lasers. As experimentally relevant examples, we demonstrate that by properly choosing the spatial profiles of the pump lasers achiral domain-wall antiferromagnetic and chiral spin-spiral orders emerge beyond critical laser strengths. The transition between these two phases can be observed in a single experimental setup by tuning the reflectivity of a mirror. We also discuss extensions of our scheme for the implementation of other classes of spin Hamiltonians.

5+7 pages, 3+2 figures, accepted PRL version (referees' comments incorporated)

References in corpus (15)

• Cold atoms in cavity-generated dynamical optical potentials
• Quantum Simulation of Antiferromagnetic Spin Chains in an Optical Lattice
• Time-resolved Observation and Control of Superexchange Interactions with Ultracold Atoms in Optical Lattices
• Quantum magnetism and criticality
• Observation of antiferromagnetic correlations in the Hubbard model with ultracold atoms
• Dynamical crystallization in a low-dimensional Rydberg gas
• Tunable-range, photon-mediated atomic interactions in multimode cavity QED
• Cavity Mediated Collective Spin Exchange Interactions in a Strontium Superradiant Laser
• Bose Hubbard Models with Synthetic Spin-Orbit Coupling: Mott Insulators, Spin Textures and Superfluidity
• Photon-Mediated Spin-Exchange Dynamics of Spin-1 Atoms
• Exotic quantum spin models in spin-orbit-coupled Mott insulators
• Spinor self-ordering of a quantum gas in a cavity
• Formation of a spin texture in a quantum gas coupled to a cavity
• Driven-Dissipative Supersolid in a Ring Cavity
• Cavity-induced emergent topological spin textures in a Bose Einstein condensate

Cited by in corpus (51)

• Cavity QED with Quantum Gases: New Paradigms in Many-Body Physics
• Quantum amplification and simulation of strong and ultrastrong coupling of light and matter
• Squeezed light induced symmetry breaking superradiant phase transition
• Dissipation-induced instabilities of a spinor Bose-Einstein condensate inside an optical cavity
• Treelike interactions and fast scrambling with cold atoms
• Sign-changing photon-mediated atom interactions in multimode cavity QED
• Cavity-induced quantum spin liquids
• Dynamical spin-orbit coupling of a quantum gas
• Photo-induced electron pairing in a driven cavity
• Protecting Spin Coherence in a Tunable Heisenberg Model
• Antiferromagnetic cavity optomagnonics
• Numerically exact treatment of many body self-organization in a cavity
• Integrable and chaotic dynamics of spins coupled to an optical cavity
• Cavity-mediated unconventional pairing in ultracold fermionic atoms
• Long-range photon fluctuations enhance photon-mediated electron pairing and superconductivity
• Hidden time-reversal symmetry, quantum detailed balance and exact solutions of driven-dissipative quantum systems
• The Ising model in a light-induced quantized transverse field
• Characterizing quantum criticality and steered coherence in the XY-Gamma chain
• Pathway to chaos through hierarchical superfluidity in a cavity-BEC system
• Measuring the dynamics of a first order structural phase transition between two configurations of a superradiant crystal
• Emergent Quasicrystalline Symmetry in Light-Induced Quantum Phase Transitions
• Unraveling the quantum nature of atomic self-ordering in a ring cavity
• Conventional and unconventional Dicke models: Multistabilities and nonequilibrium dynamics
• Atomic self-organization emerging from tunable quadrature coupling
• The Hofstadter Butterfly in a Dynamic Cavity-Induced Synthetic Magnetic Field
• Antiferromagnetic self-ordering of a Fermi gas in a ring cavity
• Open Quantum-System Simulation of Faraday's Induction Law via Dynamical Instabilities
• Self-organized Limit Cycles in Red-detuned Atom-cavity Systems
• Long-range-ordered phase in a quantum Heisenberg chain with interactions beyond nearest neighbors
• Fermionization via cavity-assisted infinite-range interactions
• Bound state dynamics in the long-range spin-$\frac{1}{2}$ XXZ model
• Non-Fermi-Liquid Behavior from Cavity Electromagnetic Vacuum Fluctuations at the Superradiant Transition
• Adiabatic Control of Decoherence-Free-Subspaces in an Open Collective System
• From the open Heisenberg model to the Landau-Lifshitz equation
• Many-Body Phases of a Planar Bose-Einstein Condensate with Cavity-Induced Spin-Orbit Coupling
• Speeding Up Squeezing with a Periodically Driven Dicke Model
• Controlling the dynamics of atomic correlations via the coupling to a dissipative cavity
• Spin and density self-ordering in dynamic polarization gradients fields
• Spin Entanglement and Magnetic Competition via Long-range Interactions in Spinor Quantum Optical Lattices
• Non-equilibrium quantum phase transition in a spinor quantum gas in a lattice coupled to a membrane
• Laser-painted cavity-mediated interactions in a quantum gas
• Dynamics of spin-momentum entanglement from superradiant phase transitions
• Induction of non-Fermi liquids by critical cavity photons at the onset of superradiance
• Self-ordering and cavity cooling using a train of ultrashort pulses
• Dimensional crossover in self-organised super-radiant phases of ultra cold atoms inside a cavity
• Controlling atomic spin-mixing via multiphoton transitions in a cavity
• Controlling Collective Phenomena Via the Quantum State of Interaction-Mediators: Changing the Criticality of Photon-Mediated Superconductivity Via Fock States of Light
• Superradiant phase transition with cavity assisted dynamical spin-orbit coupling
• Higgs mode stabilization by photo-induced long-range interactions in a superconductor
• Control, competition and coexistence of effective magnetic orders by interactions in Bose-Einstein condensates with high-Q cavities
• Generation, manipulation and detection of snake state trajectories of a neutral atom in a ring-cavity