Phase Diagram Detection via Gaussian Fitting of Number Probability Distribution
arXiv:2207.01478 · doi:10.1103/PhysRevB.107.L121403
Abstract
We investigate the number probability density function that characterizes sub-portions of a quantum many-body system with globally conserved number of particles. We put forward a linear fitting protocol capable of mapping out the ground-state phase diagram of the rich one-dimensional extended Bose-Hubbard model: The results are quantitatively comparable with more sophisticated traditional and machine learning techniques. We argue that the studied quantity should be considered among the most informative bipartite properties, being moreover readily accessible in atomic gases experiments.
References in corpus (41)
- Entanglement Entropy and Quantum Field Theory
- Entanglement in quantum critical phenomena
- Entanglement Spectrum as a Generalization of Entanglement Entropy: Identification of Topological Order in Non-Abelian Fractional Quantum Hall Effect States
- Entanglement spectrum of a topological phase in one dimension
- Measuring entanglement entropy through the interference of quantum many-body twins
- Quantum thermalization through entanglement in an isolated many-body system
- Learning phase transitions by confusion
- Measurement-Induced Phase Transitions in the Dynamics of Entanglement
- Quantum Entanglement Growth Under Random Unitary Dynamics
- Probing entanglement entropy via randomized measurements
- Measurement-driven entanglement transition in hybrid quantum circuits
- Probing entanglement in a many-body-localized system
- Measuring entanglement growth in quench dynamics of bosons in an optical lattice
- Entanglement spectrum in one-dimensional systems
- The one-dimensional Bose-Hubbard Model with nearest-neighbor interaction
- Quantum Noise as an Entanglement Meter
- Bipartite Fluctuations as a Probe of Many-Body Entanglement
- Symmetry-resolved entanglement in many-body systems
- Ground State Phase Diagram of S=1 XXZ Chains with Uniaxial Single-Ion-Type Anisotropy
- Rise and fall of hidden string order of lattice bosons
- Evidence for unbounded growth of the number entropy in many-body localized phases
- Bulk-Edge Correspondence in the Entanglement Spectra
- General Relation between Entanglement and Fluctuations in One Dimension
- Symmetry resolved entanglement in free fermionic systems
- Phase diagram of the extended Bose Hubbard model
- Spin-resolved entanglement spectroscopy of critical spin chains and Luttinger liquids
- Unsupervised phase discovery with deep anomaly detection
- Detecting Quantum Critical Points using Bipartite Fluctuations
- Scaling of the entanglement spectrum near quantum phase transitions
- Symmetry resolved entanglement entropy of excited states in a CFT
- Boundary-locality and perturbative structure of entanglement spectra in gapped systems
- Entanglement Hamiltonians of lattice models via the Bisognano-Wichmann theorem
- Full counting statistics in the gapped XXZ spin chain
- Entanglement spectrum of one-dimensional extended Bose-Hubbard models
- Spectral and Entanglement Properties of the Bosonic Haldane Insulator
- Symmetric inseparability and number entanglement in charge conserving mixed states
- Superfluid density and quasi-long-range order in the one-dimensional disordered Bose-Hubbard model
- Unlimited growth of particle fluctuations in many-body localized phases
- Supersolid-Superfluid phase separation in the extended Bose-Hubbard model
- Collisionless drag for a one-dimensional two-component Bose-Hubbard model
- Detection of Berezinskii-Kosterlitz-Thouless transition via Generative Adversarial Networks
Cited by in corpus (4)
- Reduced basis surrogates for quantum spin systems based on tensor networks
- What can we learn from diffusion about Anderson localization of a degenerate Fermi gas?
- Berezinskii-Kosterlitz-Thouless Renormalization Group Flow at a Quantum Phase Transition
- Entanglement gap in 1D long-range quantum spherical models