Optimal Spin Squeezed Steady State induced by the dynamics of non-hermtian hamiltonians
arXiv:1809.02683 · doi:10.1088/1402-4896/ab0fc0
Abstract
In this work, we study the time evolution of a coherent spin state under the action of a non-hermitian hamiltonian. The hamiltonian is modeled by a one-axis twisting term plus a Lipkin-type interaction. We show that when the Lipkin interaction is switched on, depending on the relative values of the coupling constants, the initial state evolves into a steady squeezed state which minimizes the Uncertainty Relations, Intelligent Spin State. We apply this result to look for the generation of an steady intelligent spin state from an ensemble of nitrogen vacancy colour centers in diamond coupled to a mechanical resonator.
arXiv commentarXiv admin note: text overlap with arXiv:1101.4828 by other authors
References in corpus (59)
- The nitrogen-vacancy colour centre in diamond
- Many-particle entanglement with Bose--Einstein condensates
- Quantum spin squeezing
- Squeezing and entanglement in a Bose-Einstein condensate
- Strong Coupling of a Spin Ensemble to a Superconducting Resonator
- Experimental Comparison of Two Quantum Computing Architectures
- Entanglement and Extreme Spin Squeezing
- Room temperature entanglement between distant single spins in diamond
- Coherent coupling of a superconducting flux-qubit to an electron spin ensemble in diamond
- Squeezed Optomechanics with Phase-matched Amplification and Dissipation
- Theory of the ground state spin of the NV- center in diamond: II. Spin solutions, time-evolution, relaxation and inhomogeneous dephasing
- Theory of the ground state spin of the NV- center in diamond: I. Fine structure, hyperfine structure, and interactions with electric, magnetic and strain fields
- Dissipative Phase Transition in Central Spin Systems
- Spin-Nematic Squeezed Vacuum in a Quantum Gas
- Coherence of Nitrogen-Vacancy Electronic Spin Ensembles in Diamond
- Phonon-induced spin-spin interactions in diamond nanostructures: application to spin squeezing
- Spin-spin interaction and spin-squeezing in an optical lattice
- Finite-Size Scaling Exponents of the Lipkin-Meshkov-Glick Model
- Arbitrarily large steady-state bosonic squeezing via dissipation
- Coupling Nitrogen Vacancy Centers in Diamond to Superconducting Flux Qubits
- Continuous unitary transformations and finite-size scaling exponents in the Lipkin-Meshkov-Glick model
- A review of progress in the physics of open quantum systems: theory and experiment
- Scalable Architecture for a Room Temperature Solid-State Quantum Information Processor
- Coherence of single spins coupled to a nuclear spin bath of varying density
- Equivalence of critical scaling laws for many-body entanglement in the Lipkin-Meshkov-Glick model
- Dissipative Preparation of Spin Squeezed Atomic Ensembles in a Steady State
- Entanglement and spin squeezing in non-Hermitian phase transitions
- Spin squeezing: transforming one-axis-twisting into two-axis-twisting
- Tailoring spin defects in diamond
- Towards Realizing a Quantum Memory for a Superconducting Qubit: Storage and Retrieval of quantum states
- Entanglement Entropy beyond the Free Case
- Quantum memory using a hybrid circuit with flux qubits and NV centers
- Spectroscopic properties of inhomogeneously broadened spin ensembles in a cavity
- Universality of the negativity in the Lipkin-Meshkov-Glick model
- Coherent Coupling of Remote Spin Ensembles via a Cavity Bus
- Single Spin Magnetic Resonance
- Robertson Intelligent States
- Strongly Coupled Diamond Spin Qubits by Molecular Nitrogen Implantation
- Dissipative phase transitions: Independent versus collective decay and spin squeezing
- One- and two-axis squeezing of atomic ensembles in optical cavities
- Self-assembling hybrid diamond-biological quantum devices
- Pulsed photoelectric coherent manipulation and detection of NV centre spins in diamond
- Spin squeezing by tensor twisting and Lipkin-Meshkov-Glick dynamics in a toroidal Bose-Einstein condensate with spatially modulated nonlinearity
- Two-axis spin squeezing of two-component BEC via a continuous driving
- Coupling spin ensembles via superconducting flux qubits
- Quantum Enhanced Measurement of Rotations with a Spin-1 Bose-Einstein Condensate in a Ring Trap
- A hybrid-systems approach to spin squeezing using a highly dissipative ancillary system
- Classification of Spin-Nematic Squeezing in Spin-1 Collective Atomic Systems
- Characteristic uncertainty relations
- Spontanous spin squezing in a rubidium BEC
- Spin squeezing of the non-Hermitian one-axis twisting model
- Dissipative entanglement of solid-state spins in diamond
- Dynamics of finite dimensional non-hermitian systems with indefinite metric
- Precision Measurements Using Squeezed Spin States via Two-axis Counter-twisting Interactions
- Spin-Orbit Coupling Induced Spin Squeezing in Three-Component Bose Gases
- Persistent atomic spin squeezing at the Heisenberg limit
- Coherent Quantum Dynamics: What Fluctuations Can Tell
- Classification of spin and multipolar squeezing
- Geometrical properties of intelligent spin states and time evolution of coherent states