Finite-size scaling at the first-order quantum transitions of quantum Potts chains

Abstract

We investigate finite-size effects in quantum systems at first-order quantum transitions. For this purpose we consider the one-dimensional q-state Potts models which undergo a first-order quantum transition for any q>4, separating the quantum disordered and ordered phases with a discontinuity in the energy density of the ground state. The low-energy properties around the transition show finite-size scaling, described by general scaling ansatzes with respect to appropriate scaling variables. The size dependence of the scaling variables presents a particular sensitiveness to boundary conditions, which may be considered as a peculiar feature of first-order quantum transitions.

10 pages

References in corpus (8)

• Quantum Simulation of Antiferromagnetic Spin Chains in an Optical Lattice
• Antiferromagnetic criticality at a heavy-fermion quantum phase transition
• The quantum adiabatic algorithm and scaling of gaps at first order quantum phase transitions
• Finite-size scaling at first-order quantum transitions
• Quantum transitions driven by one-bond defects in quantum Ising rings
• Sharp phase transitions in a small frustrated network of trapped ion spins
• Universal scaling effects of a temperature gradient at first-order transitions
• Scaling phenomena driven by inhomogeneous conditions at first-order quantum transitions

Cited by in corpus (14)

• Dynamic off-equilibrium transition in systems slowly driven across thermal first-order phase transitions
• Scaling properties of the dynamics at first-order quantum transitions when boundary conditions favor one of the two phases
• Renormalization-group theory for cooling first-order phase transitions in Potts models
• Out-of-equilibrium dynamics arising from slow round-trip variations of Hamiltonian parameters across quantum and classical critical points
• Dynamic finite-size scaling at first-order transitions
• Scaling of decoherence and energy flow in interacting quantum spin systems
• Out-of-equilibrium scaling behavior arising during round-trip protocols across a quantum first-order transition
• Elaborating the phase diagram of spin-1 anyonic chains
• Out-of-equilibrium dynamics across the first-order quantum transitions of one-dimensional quantum Ising models
• Imaginary-field-driven phase transition for the $2$D Ising antiferromagnet: A fidelity-susceptibility approach
• Decoherence and energy flow in the sunburst quantum Ising model
• Quantum critical behaviors and decoherence of weakly coupled quantum Ising models within an isolated global system
• Quantum quenches across continuous and first-order quantum transitions in one-dimensional quantum Ising models
• Quantum many-body spin rings coupled to ancillary spins: The sunburst quantum Ising model