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.
8 pages, 4 figures
References in corpus (10)
- Probing many-body dynamics on a 51-atom quantum simulator
- Probing Topological Spin Liquids on a Programmable Quantum 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
- Dynamical preparation of quantum spin liquids in Rydberg atom arrays
- Free fermionic and parafermionic quantum spin chains with multispin interactions
- Diagnosing Potts criticality and two-stage melting in one-dimensional hard-boson models
- Conformal and chiral phase transitions in Rydberg chains
- Lee-Yang theory of criticality in interacting quantum many-body systems