Lee-Yang zeros in the Rydberg atoms
arXiv:2203.16128 · doi:10.1007/s11467-022-1226-6
Abstract
Lee-Yang (LY) zeros play a fundamental role in the formulation of statistical physics in terms of (grand) partition functions, and assume theoretical significance for the phenomenon of phase transitions. In this paper, motivated by recent progress in cold Rydberg atom experiments, we explore the LY zeros in classical Rydberg blockade models. We find that the distribution of zeros of partition functions for these models in one dimension (1d) can be obtained analytically. We prove that all the LY zeros are real and negative for such models with arbitrary blockade radii. Therefore, no phase transitions happen in 1d classical Rydberg chains. We investigate how the zeros redistribute as one interpolates between different blockade radii. We also discuss possible experimental measurements of these zeros.
arXiv comment8 pages, 4 figures
References in corpus (28)
- Probing many-body dynamics on a 51-atom quantum simulator
- Quantum many-body scars
- Quantum Phases of Matter on a 256-Atom Programmable Quantum Simulator
- Dynamical Quantum Phase Transitions in the Transverse Field Ising Model
- Probing Topological Spin Liquids on a Programmable Quantum Simulator
- Quantum Many-Body Scars and Weak Breaking of Ergodicity
- Quantum Kibble-Zurek mechanism and critical dynamics on a programmable Rydberg simulator
- Competing density-wave orders in a one-dimensional hard-boson model
- Quantum phases of Rydberg atoms on a kagome lattice
- Observation of Lee-Yang zeros
- Probing Lee-Yang zeros and coherence sudden death
- Numerical study of the chiral quantum phase transition in one spatial dimension
- Complex density wave orders and quantum phase transitions in a model of square-lattice Rydberg atom arrays
- Experimental Determination of Dynamical Lee-Yang Zeros
- Dynamical preparation of quantum spin liquids in Rydberg atom arrays
- The Lee-Yang and Pólya-Schur Programs. I. Linear Operators Preserving Stability
- Floating phase versus chiral transition in a 1D hard-boson model
- Free fermions in disguise
- The Lee-Yang and Pólya-Schur Programs. II. Theory of Stable Polynomials and Applications
- Free fermionic and parafermionic quantum spin chains with multispin interactions
- Integrable quantum spin chains with free fermionic and parafermionic spectrum
- Lee-Yang theory, high cumulants, and large-deviation statistics of the magnetization in the Ising model
- Determination of universal critical exponents using Lee-Yang theory
- Conformal and chiral phase transitions in Rydberg chains
- Diagnosing Potts criticality and two-stage melting in one-dimensional hard-boson models
- Lee-Yang theory of criticality in interacting quantum many-body systems
- Location of the Lee-Yang zeros and absence of phase transitions in some Ising spin systems
- Yang-Lee Zeros of the Triangular Ising Antiferromagnets