Simulating the Lipkin-Meshkov-Glick model in a hybrid quantum system
arXiv:1712.06234 · doi:10.1103/PhysRevA.96.062333
Abstract
We propose an efficient scheme for simulating the Lipkin-Meshkov-Glick (LMG) model with nitrogen-vacancy (NV) center ensembles in diamond magnetically coupled to superconducting coplanar waveguide cavities. With the assistance of external microwave driving fields, we show that the interaction of the NV spins can be easily controlled, and several types of the LMG model can be realized by tuning the different parameters. Under the thermal dynamical limit, the distinct non-equilibrium second order quantum phase transition of the spin ensemble can be achieved at the critical point. Furthermore, we show that the spin squeezed state can be generated by tailoring the LMG Hamiltonian to possess the two-axis counter-twisting form in this hybrid quantum system.
10 pages, 4 figures, Accepted for publication in PRA
References in corpus (24)
- QuTiP 2: A Python framework for the dynamics of open quantum systems
- High-sensitivity diamond magnetometer with nanoscale resolution
- Strong Coupling of a Spin Ensemble to a Superconducting Resonator
- Distributed quantum computation via optical fibres
- Experimental Realization of Universal Geometric Quantum Gates with Solid-State Spins
- Coherence of Nitrogen-Vacancy Electronic Spin Ensembles in Diamond
- Phonon-induced spin-spin interactions in diamond nanostructures: application to spin squeezing
- Entanglement in a second order quantum phase transition
- Quenching Spin Decoherence in Diamond through Spin Bath Polarization
- Strong magnetic coupling of an ultracold gas to a superconducting waveguide cavity
- Quantum computing with an electron spin ensemble
- Hybrid quantum device with nitrogen-vacancy centers in diamond coupled to carbon nanotubes
- Dynamical quantum phase transitions in the dissipative Lipkin-Meshkov-Glick model and proposed realization in optical cavity QED
- Entanglement in a first order quantum phase transition
- Spin squeezing of a cold atomic ensemble with the nuclear spin of one-half
- Spin squeezing: transforming one-axis-twisting into two-axis-twisting
- Implementation of the Dicke lattice model in hybrid quantum system arrays
- High-fidelity quantum memory using nitrogen-vacancy center ensemble for hybrid quantum computation
- Coherent control of a strongly driven silicon vacancy optical transition in diamond
- Cavity QED with an ultracold ensemble on a chip: prospects for strong magnetic coupling at finite temperatures
- Proposal for detection of a single electron spin in a microwave resonator
- Quantum simulation of artificial Abelian gauge field using nitrogen-vacancy center ensembles coupled to superconducting resonators
- Cavity assisted single- and two-mode spin-squeezed states via phase-locked atom-photon coupling
- Dynamical properties across a quantum phase transition in the Lipkin-Meshkov-Glick model