Multipartite entanglement in quantum phase transitions

Abstract

This dissertation collects results about witnessing multipartite entanglement in critical spin systems and free-fermion models both at zero and finite temperature.

arXiv commentPh.D. thesis as defended on 22/02/2018 at University of Florence, with minor corrections and updated references. 124 pages, 44 figures. Pdf 10 MB. Partially based on arXiv:1805.03139, arXiv:1809.01091 and arXiv:1706.06539

References in corpus (89)

• Topological Insulators
• Quantum entanglement
• Quantum phase transition from a superfluid to a Mott insulator in a gas of ultracold atoms
• Paired states of fermions in two dimensions with breaking of parity and time-reversal symmetries, and the fractional quantum Hall effect
• Concentrating Partial Entanglement by Local Operations
• Evidence of Majorana fermions in an Al - InAs nanowire topological superconductor
• Scaling of Entanglement close to a Quantum Phase Transitions
• Quantum metrology with nonclassical states of atomic ensembles
• Observation of Majorana Fermions in a Nb-InSb Nanowire-Nb Hybrid Quantum Device
• Quantum Coherent Atomic Tunneling between Two Trapped Bose-Einstein Condensates
• Topological orders and Edge excitations in FQH states
• Tensor-Entanglement-Filtering Renormalization Approach and Symmetry Protected Topological Order
• Many-particle entanglement with Bose--Einstein condensates
• Nonlinear atom interferometer surpasses classical precision limit
• Engineered 2D Ising interactions on a trapped-ion quantum simulator with hundreds of spins
• Quantum Simulation of Antiferromagnetic Spin Chains in an Optical Lattice
• Entanglement, Non-linear Dynamics, and the Heisenberg Limit
• Observation of entanglement propagation in a quantum many-body system
• Symmetry protection of topological order in one-dimensional quantum spin systems
• Quantum spin squeezing
• Ground state overlap and quantum phase transitions
• Beating the Standard Quantum Limit with Four Entangled Photons
• Dynamics of a Quantum Phase Transition
• Non-local propagation of correlations in long-range interacting quantum systems
• Squeezing and entanglement in a Bose-Einstein condensate
• Anomalous modulation of a zero bias peak in a hybrid nanowire-superconductor device
• Geometric measure of entanglement and applications to bipartite and multipartite quantum states
• Quantum phase transitions
• Precision Measurement of the Newtonian Gravitational Constant Using Cold Atoms
• Quantum Annealing and Analog Quantum Computation
• Identifying Topological Order by Entanglement Entropy
• Onset of antiferromagnetism in heavy fermion metals
• Quantum criticality
• Fisher information and multiparticle entanglement
• Multipartite entanglement and high precision metrology
• Witnessing multipartite entanglement
• Quantum critical scaling of the geometric tensors
• Entanglement and Extreme Spin Squeezing
• Emergence and Frustration of Magnetic Order with Variable-Range Interactions in a Trapped Ion Quantum Simulator
• Quantum Superposition States of Bose-Einstein Condensates
• Twin matter waves for interferometry beyond the classical limit
• Fisher Information and entanglement of non-Gaussian spin states
• Entanglement spectrum of topological insulators and superconductors
• Measuring multipartite entanglement via dynamic susceptibilities
• Quantum criticality and universal scaling of a quantum antiferromagnet
• Quantum criticality as a resource for quantum estimation
• Integrated Mach-Zehnder interferometer for Bose-Einstein condensates
• Finite-Size Scaling Exponents of the Lipkin-Meshkov-Glick Model
• Entanglement entropy for the long range Ising chain
• Experimental quantum-enhanced estimation of a lossy phase shift
• Continuous unitary transformations and finite-size scaling exponents in the Lipkin-Meshkov-Glick model
• Detecting multiparticle entanglement of Dicke states
• Quantum enhanced estimation of a multi-dimensional field
• Multipartite entanglement in spin chains
• Linear-T resistivity and change in Fermi surface at the pseudogap critical point of a high-Tc superconductor
• The Thermodynamical Limit of the Lipkin-Meshkov-Glick Model
• Quantum phase transitions in the interacting boson model
• Atom interferometry with a weakly-interacting Bose Einstein condensate
• Experimental Detection of Entanglement with Polarized Photons
• Majorana zero modes in a quantum Ising chain with longer-ranged interactions
• Equivalence of critical scaling laws for many-body entanglement in the Lipkin-Meshkov-Glick model
• Uhlmann Phase as a Topological Measure for One-Dimensional Fermion Systems
• Multipartite Entanglement Witnesses
• Low temperature relaxational dynamics of the Ising chain in a transverse field
• Entanglement dynamics in the Lipkin-Meshkov-Glick model
• Quantum critical metrology
• Observation of Quantum Phase Transitions with Parity-Symmetry Breaking and Hysteresis
• Large N Scaling Behavior of the Lipkin-Meshkov-Glick Model
• Criticality in correlated quantum matter
• Multipartite entanglement in topological quantum phases
• Majorana Fermions: The race continues
• Testing the universality of free fall with rubidium and ytterbium in a very large baseline atom interferometer
• Topological Massive Dirac Edge Modes and Long-Range Superconducting Hamiltonians
• Fidelity analysis of topological quantum phase transitions
• Scaling of genuine multiparticle entanglement at a quantum phase transition
• Witnessing Multipartite Entanglement without Entanglement Witness Operators
• Multipartite Entanglement at Finite Temperature
• Reconstructing the quantum critical fan of strongly correlated systems via quantum correlations
• Quantum variance: a measure of quantum coherence and quantum correlations for many-body systems
• Attractive ultracold bosons in a necklace optical potential
• Universalities of thermodynamic signatures in topological phases
• Spectral Properties of Coupled Bose-Einstein Condensates
• Optimal witnessing of the quantum Fisher information with few measurements
• Thermodynamic signatures of edge states in topological insulators
• Thermal robustness of multipartite entanglement of the 1-D spin 1/2 XY model
• Sub shot-noise interferometry from measurements of the one-body density
• Thermal entanglement in fully connected spin systems and its RPA description
• Semiclassical excited-state signatures of quantum phase transitions in spin chains with variable-range interactions
• Goldilocks Probes for Noisy Interferometry via Quantum Annealing to Criticality