Probing the Lee-Yang zeros of a spin bath by correlation functions and entanglement of two spins
arXiv:1903.11108 · doi:10.1088/1361-6455/ab3d6b
Abstract
We study the Lee-Yang zeros of the ferromagnetic Ising bath via the interaction with the two probe spins. Similarly as in paper [Bo-Bo Wei, Ren-Bao Liu, Phys. Rev. Lett. 109, 185701 (2012)] the problem of detecting the zeros is reduced to the exploration of time evolution of probe spins. As a result, the relation between the Lee-Yang zeros of the bath and correlation functions of the probe system is obtained. Also we obtain relation between the Lee-Yang zeros and values of the entanglement of probe spins. We apply these results to the 1D Ising spin model with nearest-neighbor interaction which can be prepared on trapped atoms.
arXiv comment18 pages, 3 figures
References in corpus (23)
- Entanglement of Formation of an Arbitrary State of Two Qubits
- Controlling Spin Exchange Interactions of Ultracold Atoms in Optical Lattices
- Multi-particle entanglement of hot trapped ions
- Effective quantum spin systems with ion traps
- Quantum spin dynamics and entanglement generation with hundreds of trapped ions
- Counterflow Superfluidity of Two-Species Ultracold Atoms in a Commensurate Optical Lattice
- Observation of Lee-Yang zeros
- Statistical Mechanics of Equilibrium and Nonequilibrium Phase Transitions: The Yang-Lee Formalism
- Classification of phase transitions in small systems
- Probing Lee-Yang zeros and coherence sudden death
- Experimental Determination of Dynamical Lee-Yang Zeros
- Density of Zeros on the Lee-Yang circle obtained from magnetization data of a two-dimensional Ising ferromagnet
- Phase transitions in the complex plane of physical parameters
- Classification of phase transitions of finite Bose-Einstein condensates in power law traps by Fisher zeros
- Probing the Full Distribution of Many-Body Observables by Single-Qubit Interferometry
- Violation of Lee-Yang circle theorem for Ising phase transitions on complex networks
- Lee-Yang zeros and two-time spin correlation function
- Quantifying geometric measure of entanglement by mean value of spin and spin correlations for pure and mixed states
- Two-time correlation functions and the Lee-Yang zeros for an interacting Bose gas
- Fisher zeros of a unitary Bose gas
- Detecting the Lee-Yang zeros of a high-spin system by the evolution of probe spin
- Time correlation functions and Fisher zeros for q-deformed Bose gas
- Anomalous Fisher-like zeros for the canonical partition function of noninteracting fermions