Diagnosing Potts criticality and two-stage melting in one-dimensional hard-boson models

Abstract

We investigate a model of hard-core bosons with infinitely repulsive nearest- and next-nearest-neighbor interactions in one dimension, introduced by Fendley, Sengupta and Sachdev in Phys. Rev. B 69, 075106 (2004). Using a combination of exact diagonalization, tensor network, and quantum Monte Carlo simulations, we show how an intermediate incommensurate phase separates a crystalline and a disordered phase. We base our analysis on a variety of diagnostics, including entanglement measures, fidelity susceptibility, correlation functions, and spectral properties. According to theoretical expectations, the disordered-to-incommensurate-phase transition point is compatible with Berezinskii-Kosterlitz-Thouless universal behaviour. The second transition is instead non-relativistic, with dynamical critical exponent $z>1$. For the sake of comparison, we illustrate how some of the techniques applied here work at the Potts critical point present in the phase diagram of the model for finite next-nearest-neighbor repulsion. This latter application also allows to quantitatively estimate which system sizes are needed to match the conformal field theory spectra with experiments performing level spectroscopy.

arXiv comment18 pages, 14 figures

References in corpus (35)

• The density-matrix renormalization group in the age of matrix product states
• Quantum information with Rydberg atoms
• Probing many-body dynamics on a 51-atom quantum simulator
• Scaling of Entanglement close to a Quantum Phase Transitions
• Entanglement entropy and conformal field theory
• Dipole Blockade and Quantum Information Processing in Mesoscopic Atomic Ensembles
• The physics of dipolar bosonic quantum gases
• Cold and Ultracold Molecules: Science, Technology, and Applications
• Bosonization and Strongly Correlated Systems
• Ground state overlap and quantum phase transitions
• Condensed Matter Theory of Dipolar Quantum Gases
• Fidelity approach to quantum phase transitions
• Fidelity, dynamic structure factor, and susceptibility in critical phenomena
• Exact, Complete, and Universal Continuous-Time Worldline Monte Carlo Approach to the Statistics of Discrete Quantum Systems
• Many-body interferometry of a Rydberg-dressed spin lattice
• Entangling Atomic Spins with a Strong Rydberg-Dressed Interaction
• Spreading of correlations and entanglement after a quench in the one-dimensional Bose-Hubbard model
• Competing density-wave orders in a one-dimensional hard-boson model
• An experimental and theoretical guide to strongly interacting Rydberg gases
• Quantum Critical Scaling of Fidelity Susceptibility
• High-precision finite-size scaling analysis of the quantum-critical point of S=1/2 Heisenberg antiferromagnetic bilayers
• Interacting Fibonacci anyons in a Rydberg gas
• Generic Construction of Efficient Matrix Product Operators
• Finite automata for caching in matrix product algorithms
• Quantum Monte Carlo simulations of fidelity at magnetic quantum phase transitions
• Numerical study of the chiral ${\mathbb{Z}}_3$ quantum phase transition in one spatial dimension
• Quantum field theory for the chiral clock transition in one spatial dimension
• Phase diagram of the $Z_3$ Parafermionic Chain with Chiral Interactions
• Floating phase versus chiral transition in a 1D hard-boson model
• Fidelity at Berezinskii-Kosterlitz-Thouless quantum phase transitions
• Phase diagram of the half-filled one-dimensional t-V-V' model
• Van der Waals explosion of cold Rydberg clusters
• Gap scaling at Berezinskii-Kosterlitz-Thouless quantum critical points in one-dimensional Hubbard and Heisenberg models
• Cluster Luttinger liquids and emergent supersymmetric conformal critical points in the one-dimensional soft-shoulder Hubbard model
• Ramp and periodic dynamics across non-Ising critical points

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• Geometry of quantum phase transitions
• Confined phases of one-dimensional spinless fermions coupled to $Z_2$ gauge theory
• Efficient Tensor Network ansatz for high-dimensional quantum many-body problems
• Microscopic characterization of Ising conformal field theory in Rydberg chains
• Entanglement Hamiltonian of quantum critical chains and conformal field theories
• Lifshitz point at commensurate melting of 1D Rydberg atoms
• Fidelity susceptibility as a diagnostic of the commensurate-incommensurate transition: A revisit of the programmable Rydberg chain
• Critical lines and ordered phases in a Rydberg-blockade ladder
• Phase diagram of Rydberg-dressed atoms on two-leg square ladders: Coupling supersymmetric conformal field theories on the lattice
• Tunable quantum criticality in multicomponent Rydberg arrays
• Gauge theory description of Rydberg atom arrays with a tunable blockade radius
• Identifying the Huse-Fisher universality class of the three-state chiral Potts model
• Resolving chiral transitions in Rydberg arrays with quantum Kibble-Zurek mechanism and finite-time scaling
• Eight-vertex criticality in the interacting Kitaev chain
• Numerical investigation of quantum phases and phase transitions in a two-leg ladder of Rydberg atoms
• Quantum criticality of a ${\mathbb{Z}}_3$ symmetric spin chain with long-range interactions
• Critical properties of the quantum Ashkin-Teller chain with chiral perturbations
• Emergence of non-Abelian SU(2) invariance in Abelian frustrated fermionic ladders
• Floating Phases in One-Dimensional Rydberg Ising Chains
• Lee-Yang zeros in the Rydberg atoms
• From Kosterlitz-Thouless to Pokrovsky-Talapov transitions in spinless fermions and spin chains with next-nearest neighbour interactions
• Variational manifolds for ground states and scarred dynamics of blockade-constrained spin models on two and three dimensional lattices
• Quantum clock models with infinite-range interactions
• ${\mathbb{Z}}_4$ transitions in quantum loop models on a zig-zag ladder
• Engineering a Josephson junction chain for the simulation of the clock model
• Topological floating phase of dipolar bosons in an optical ladder
• Emergent U(1) symmetry in non-particle-conserving one-dimensional models