Quantum simulation of Heisenberg spin chains with next nearest neighbor interactions in coupled cavities
arXiv:1212.5328 · doi:10.1103/PhysRevA.81.022303
Abstract
We propose a scheme to simulate one-dimensional XXZ-type Heisenberg spin models with competing interactions between nearest-neighbors (NNs) and next-NNs in photon-coupled micro-cavities. Our scheme, for the first time, exploits the rich resources and flexible controls available in such a system to realize arbitrarily adjustable ratios between the effective NN and next-NN coupling strengths. Such powerful capability allows us to simulate frustration phenomena and disorder behaviors in 1-d systems arising from next-NN interactions, a large class of problems of great importance in condensed matter physics. Our scheme is robust due to the lack of atomic excitations which suppresses spontaneous emission and cavity decay strongly.
arXiv comment8 pages
References in corpus (31)
- Quantum phase transition from a superfluid to a Mott insulator in a gas of ultracold atoms
- Circuit Quantum Electrodynamics: Coherent Coupling of a Single Photon to a Cooper Pair Box
- Cold bosonic atoms in optical lattices
- Quantum nature of a strongly-coupled single quantum dot-cavity system
- Strongly Interacting Polaritons in Coupled Arrays of Cavities
- Quantum phase transitions of light
- Ultra-high-Q toroidal microresonators for cavity quantum electrodynamics
- Photon blockade induced Mott transitions and XY spin models in coupled cavity arrays
- Quantum Communication through Spin Chain Dynamics: an Introductory Overview
- Quantum Many-Body Phenomena in Coupled Cavity Arrays
- Effective Hamiltonian Theory and Its Applications in Quantum Information
- Mott-insulating and glassy phases of polaritons in 1D arrays of coupled cavities
- Fractional Quantum Hall State in Coupled Cavities
- Quantum computations with atoms in optical lattices: marker qubits and molecular interactions
- Effective spin systems in coupled micro-cavities
- Low energy spin waves and magnetic interactions in SrFeAs
- Heralded generation of entanglement with coupled cavities
- Manipulation of Single Neutral Atoms in Optical Lattices
- Simulation of high-spin Heisenberg models in coupled cavities
- Phase diagram of the XXZ chain with next-nearest-neighbor interactions
- Reproducing spin lattice models in strongly coupled atom-cavity systems
- Ensemble Quantum Computation with atoms in periodic potentials
- Frustration, interaction strength and ground-state entanglement in complex quantum systems
- Quantum information storage and state transfer based on spin systems
- Characterizing entanglement by momentum-jump in the frustrated Heisenberg ring at quantum phase transition
- Exploring Quantum Phase Transitions with a Novel Sublattice Entanglement Scenario
- Single-qubit rotations in 2D optical lattices with multi-qubit addressing
- Random Antiferromagnetic Spin-1/2 Chains with Competing Interactions
- Frustration, Area Law, and Interference in Quantum Spin Models
- Local Operations in qubit arrays via global but periodic Manipulation
- An effective spin-1 Heisenberg chain in coupled cavities
Cited by in corpus (24)
- Quantum Simulation
- Quantum simulations and many-body physics with light
- Using Quantum Computers for Quantum Simulation
- Cavity-Heisenberg spin chain quantum battery
- Cavity assisted single- and two-mode spin-squeezed states via phase-locked atom-photon coupling
- Quantum Simulation of the Haldane Phase Using Trapped Ions
- Robust single-qubit gates by composite pulses in three-level systems
- One-step implementation of multiqubit phase gate with one control qubit and multiple target qubits in coupled cavities
- Quantum phase transitions in a generalized compass chain with three-site interactions
- Design of Feedback Control Laws for Information Transfer in Spintronics Networks
- Using the J1-J2 Quantum Spin Chain as an Adiabatic Quantum Data Bus
- Quantum state transmission in a cavity array via two-photon exchange
- Factorization and criticality in finite XXZ systems of arbitrary spin
- Quantum battery based on dipole-dipole interaction and external driving field
- symmetry of the Su-Schrieffer-Heeger model with imaginary boundary potentials and next-nearest-neighboring coupling
- Structured singular value analysis for spintronics network information transfer control
- Scalable universal holonomic quantum computation realized with an adiabatic quantum data bus and potential implementation using superconducting flux qubits
- Controllable operation for distant qubits in a two-dimensional quantum network
- Quantum-enhanced sensing with variable-range interactions
- Quantum state engineering by periodical two-step modulation in atomic system
- Overlaying optical lattices for simulation of complex frustrated antiferromagnets
- Nondestructive identification of the Bell diagonal state
- Quantum Simulation of Pairing Hamiltonians with Nearest-Neighbor Interacting Qubits
- Long range universal quantum computation in large-size coupled cavity array independent of cavity number