Quantum criticality in chains of planar rotors with dipolar interactions

Abstract

In this contribution we perform a density matrix renormalization group study of chains of planar rotors interacting via dipolar interactions. By exploring the ground state from weakly to strongly interacting rotors, we find the occurrence of a quantum phase transition between a disordered and a dipole-ordered quantum state. We show that the nature of the ordered state changes from ferroelectric to antiferroelectric when the relative orientation of the rotor planes varies and that this change requires no modification of the overall symmetry. The observed quantum phase transitions are characterized by critical exponents and central charges which reveal different universality classes ranging from that of the (1+1)D Ising model to the 2D classical XY model.

arXiv comment8 pages, 6 figures

References in corpus (20)

• The density-matrix renormalization group in the age of matrix product states
• Entanglement Entropy and Quantum Field Theory
• Area laws for the entanglement entropy - a review
• Entanglement entropy and conformal field theory
• Cold and Ultracold Molecules: Science, Technology, and Applications
• The ITensor Software Library for Tensor Network Calculations
• Realizing a lattice spin model with polar molecules
• Quantum phase transitions
• Quantum Criticality: competing ground states in low dimensions
• Quantum Criticality
• Quantum phases of Rydberg atoms on a kagome lattice
• On-Demand Entanglement of Molecules in a Reconfigurable Optical Tweezer Array
• Sine-square deformation of solvable spin chains and conformal field theories
• "Grand Canonical" Finite Size Numerical Approaches : a Route to Measuring Bulk Properties under Applied Field
• A quantum phase transition in the one-dimensional water chain
• The Hobbyhorse of Magnetic Systems: The Ising Model
• Mesoscopic supersolid of dipoles in a trap
• Ground states of linear rotor chains via the density matrix renormalization group
• Quantum phases of dipolar rotors on two-dimensional lattices
• Effect of neighbouring molecules on ground-state properties of many-body polar linear rotor systems

Cited by in corpus (4)

• Path integral Monte Carlo in a discrete variable representation with Gibbs sampling: dipolar planar rotor chain
• Pair Approximating the Action For Molecular Rotations in Path Integral Monte Carlo
• Path Integral Monte Carlo in the Angular Momentum Basis for a Chain of Planar Rotors
• Qubit encodings for lattices of dipolar planar rotors