Effects of energy extensivity on the quantum phases of long-range interacting systems
arXiv:1909.12105 · doi:10.1103/PhysRevB.103.155139
Abstract
We investigate the ground state properties of one-dimensional hard-core bosons interacting via a variable long-range potential using the density matrix renormalization group. We demonstrate that restoring energy extensivity in the system, which is done by rescaling the interaction potential with a suitable size-dependent factor known as Kac's prescription, has a profound influence on the low-energy properties in the thermodynamic limit. While an insulating phase is found in the absence of Kac's rescaling, the latter leads to a new metallic phase that does not fall into the conventional Luttinger liquid paradigm. Our results in one dimension illustrate the subtlety of determining the thermodynamic properties of generic long-range quantum systems.
References in corpus (59)
- A High Phase-Space-Density Gas of Polar Molecules
- The physics of dipolar bosonic quantum gases
- Cold and Ultracold Molecules: Science, Technology, and Applications
- Statistical mechanics and dynamics of solvable models with long-range interactions
- Cold atoms in cavity-generated dynamical optical potentials
- Engineered 2D Ising interactions on a trapped-ion quantum simulator with hundreds of spins
- Observation of entanglement propagation in a quantum many-body system
- Non-local propagation of correlations in long-range interacting quantum systems
- Self-bound droplets of a dilute magnetic quantum liquid
- Quantum many-body models with cold atoms coupled to photonic crystals
- Observation of dipole-dipole interaction in a degenerate quantum gas
- Wigner Crystal in One Dimension
- Quantum phases from competing short- and long-range interactions in an optical lattice
- Bosonizing one-dimensional cold atomic gases
- Extended Bose-Hubbard Models with Ultracold Magnetic Atoms
- Quantum Phases of Cold Polar Molecules in 2D Optical Lattices
- Inequivalence of ensembles in a system with long range interactions
- Observation of Roton Mode Population in a Dipolar Quantum Gas
- Nonequilibrium Statistical Mechanics of Systems with Long-Range Interactions: Ubiquity of Core-Halo Distributions
- An introduction to integrable techniques for one-dimensional quantum systems
- Kitaev chains with long-range pairing
- Tunable-range, photon-mediated atomic interactions in multimode cavity QED
- Cold atom dynamics in a quantum optical lattice potential
- Supersolid phase with cold polar molecules on a triangular lattice
- Long-range interacting rotators: connection with the mean--field approximation
- Continuous symmetry breaking and a new universality class in 1D long-range interacting quantum systems
- Long-range interactions and non-extensivity in ferromagnetic spin models
- Anomalous Behavior of Spin Systems with Dipolar Interactions
- Criticality and Phase Diagram of Quantum Long-Range models
- Ground state properties of the one dimensional Coulomb gas
- Tuning the dipole-dipole interaction in a quantum gas with a rotating magnetic field
- Dynamical critical scaling of long-range interacting quantum magnets
- Canonical Solution of Classical Magnetic Models with Long-Range Couplings
- Entanglement and fluctuations in the XXZ model with power-law interactions
- Devil's staircases and supersolids in a one-dimensional dipolar Bose gas
- 1D Quantum Liquids with Power-Law Interactions: a Luttinger Staircase with Polar Molecules
- Critical phenomena and quantum phase transition in long range Heisenberg antiferromagnetic chains
- Complete devil's staircase and crystal--superfluid transitions in a dipolar XXZ spin chain: A trapped ion quantum simulation
- Prethermalization of atoms due to photon-mediated long-range interactions
- Dynamics and Thermodynamics of Systems with Long Range Interactions: an Introduction
- Dissipation-Assisted Quantum Information Processing with Trapped Ions
- Nonequivalence of ensembles for long-range quantum spin systems in optical lattices
- Exact ground state properties of the one-dimensional Coulomb gas
- Charge-density-wave instabilities driven by multiple umklapp scattering
- Insulator-Metal Transition in One Dimension Induced by Long-Range Electronic Interactions
- The Coulomb Luttinger liquid
- Effects of Long Range Electronic Interactions on a One-dimensional Electron System
- Dynamic response of trapped ultracold bosons on optical lattices
- Ground state properties of the one-dimensional electron liquid
- Stability of Dirac Liquids with Strong Coulomb Interaction
- Charge and spin order in one-dimensional electron systems with long-range Coulomb interactions
- Anisotropic Long-Range Spin Systems
- On the mean-field spherical model
- Supersolid stripe crystal from finite-range interactions on a lattice
- Unscreened Coulomb repulsion in the one dimensional electron gas
- Algebraic Localization from Power-Law Interactions in Disordered Quantum Wires
- Collective spin modes of a trapped quantum ferrofluid
- Nonextensive scaling in a long-range Hamiltonian system
- Ground states of long-range interacting fermions in one spatial dimension
Cited by in corpus (9)
- Long-range interacting quantum systems
- Out-of-equilibrium dynamics of quantum many-body systems with long-range interactions
- transitions in classical and quantum long-range systems
- Mott-glass phase of a one-dimensional quantum fluid with long-range interactions
- Self-consistent harmonic approximation with non-local couplings
- Unconventional Scalings of Quantum Entropies in Long-Range Heisenberg Chains
- Measurement-induced phase transition in free bosons
- Bose-Hubbard model with power-law hopping in one dimension
- Berezinskii-Kosterlitz-Thouless phase transitions with long-range couplings