Quantum spin squeezing

Abstract

This paper reviews quantum spin squeezing, which characterizes the sensitivity of a state with respect to an SU(2) rotation, and is significant for both entanglement detection and high-precision metrology. We first present various definitions of spin squeezing parameters, explain their origin and properties for typical states, and then discuss spin-squeezed states produced with the Ising and the nonlinear twisting Hamiltonians. Afterwards, we explain correlations and entanglement in spin-squeezed states, as well as the relations between spin squeezing and quantum Fisher information, where the latter plays a central role in quantum metrology. We also review the applications of spin squeezing for detecting quantum chaos and quantum phase transitions, as well as the influence of decoherence on spin-squeezed states. Finally, several experiments are discussed including: producing spin squeezed states via particle collisions in Bose-Einstein condensates, mapping photon squeezing onto atomic ensembles, and quantum non-demolition measurements.

99 pages, 25 figures

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• Lee-Yang zeros and quantum Fisher information matrix in a nonlinear system
• Absence of Correlations in Dissipative Interacting Qubits: a No-Go Theorem
• Monogamy-of-entanglement-inspired protocol to quantify bipartite entanglement using spin squeezing
• Spontaneous symmetry breaking and Husimi Q-functions in extended Dicke model
• Spin squeezing in Dicke-class of states with non-orthogonal spinors
• $su(d)$-squeezing and many-body entanglement geometry in finite-dimensional systems
• Enhancement of squeezing in the Rabi model with parametric nonlinearity
• Spin Squeezing as a Probe of Emergent Quantum Orders
• Nonclassical correlations and quadrature squeezing of photons in anisotropic quantum Rabi-Stark model
• Influence of gravitational waves on quantum multibody states
• A total measure of multi-particle quantum correlations in atomic Schrödinger cat states
• Error estimation of different schemes to measure spin-squeezing inequalities
• State-insensitive wavelengths for light shifts and photon scattering from Zeeman states
• Quantum correlated steady states under competing collective and individual decay
• Signatures of nonclassical effects in tomograms
• Engineering long-lived entanglement through dissipation in quantum hybrid solid-state platforms
• Ultrastrong Coupling of a Qubit with a Nonlinear Optical Resonator
• Spin squeezing an ultracold molecule
• Lieb-Mattis states for robust entangled differential phase sensing
• Manifold formation and crossings of ultracold lattice spinor atoms in the intermediate interaction regime
• Investigating Lipkin-Meshkov-Glick Model and Criticality-Enhanced Metrology in a Coherent Ising Machine
• Stronger sum uncertainty relations for non-Hermitian operators
• Approaching the double-Heisenberg scaling sensitivity in the Tavis-Cummings model
• Self-Ordered Supersolid in Spinor Condensates with Cavity-Mediated Spin-Momentum-Mixing Interactions
• Enhancement of the metrological sensitivity limit through knowledge of the average energy
• Enhancing Nonreciprocity through Squeezing-Induced Symmetry Breaking
• Integration of the Berry curvature on a qubit state manifold by coupling to a quantum meter system
• Cascaded Multiparameter Quantum Metrology
• Macroscopic Schrödinger-cat states of nonequilibrium electrons induced by cat-state optical driving and projective measurements on the light field
• Generating non-classical states from spin coherent states via interaction with ancillary spins
• Optimal Local Measurements in Single-Parameter Quantum Metrology
• Modified coherence of quantum spins in a damped pure-dephasing model
• An Effective Way to Determine the Separability of Quantum State
• Exact solutions and Dynamical phase transitions in the Lipkin-Meshkov-Glick model with Dual nonlinear interactions
• Entangling nuclear spins in distant quantum dots via an electron bus
• Squeezing giant spin states via geometric phase control in cavity-assisted Raman transitions
• Nuclear Spin Squeezing Based on Spin-Exchange Collisions
• Evolution of the entanglement of the $N00N$-type of states in a coupled two cavity system via an adiabatic approximation
• Echoes of a Squeezed Oscillator
• Study of the spin kitten states in a strongly coupled spin-oscillator system
• Dynamically generated quadrupole polarization using Floquet adiabatic evolution
• Quantum Phase Estimation Algorithm with Gaussian Spin States
• Tomographic entanglement indicators from NMR experiments
• Generating large-scale Greenberger-Horne-Zeilinger-like states in lattice spin systems
• Entanglement and U(D)-spin squeezing in symmetric multi-quDit systems and applications to quantum phase transitions in Lipkin-Meshkov-Glick D-level atom models
• Generation of squeezed optical states via stored classical pulses in a Bose gas
• Reference-frame-independent quantum metrology
• Spin Squeezing of Superposition of Biaxial State and two qubit Bell State
• Mean-field spin-oscillation dynamics beyond the single-mode approximation for a harmonically trapped spin-1 Bose-Einstein condensate
• O(1) benchmarking of precise rotation in a spin-squeezed Bose-Einstein condensate
• Nonequilibrium thermometry via an ensemble of initially correlated qubits
• Multi-observable Uncertainty Equality based on the sum of standard deviations in the qubit system
• Optimal spin- and planar-quantum squeezing in superpositions of spin coherent states
• Kinetically constrained cavity QED: from blockaded ferromagnetism to long-range quantum scars
• Decoherence assisted spin squeezing generation in superposition of tripartite GHZ and W states
• Protecting spin squeezing from decoherence
• Universality in fidelity-based quantum metrology
• Beating the 3 dB Limit for Intracavity Squeezing and Its Application to Nondemolition Qubit Readout
• Multipartite continuous-variable quantum nondemolition interaction and entanglement certification and monitoring
• Variance-based uncertainty relation for incompatible observers
• Phonon-induced two-axis spin squeezing with decoherence reduction in hybrid spin-optomechanical system
• Quantum states preparation of an atomic ensemble via cavity-assisted homodyne measurement
• Spin squeezing from bilinear spin-spin interactions: two simple theorems
• $\text{Symdyn}$: an automated algebraic solution for high-order quantum systems
• Distance-based approach to quantum coherence and nonclassicality
• Spin Squeezing, Macrorealism and the Heisenberg uncertainty principle
• Metastable discrete time-crystal resonances in a dissipative central spin system
• Nonequilibrium thermal transport and photon squeezing in a quadratic qubit-resonator system
• Multipartite entanglement in quantum phase transitions
• Optimal finite-dimensional probe states for quantum phase estimation
• Parameter estimation with one- and two-time measurements on the emission field of the boundary time crystal
• Spin coherence scale: operator-ordering sensitivity beyond the Heisenberg-Weyl group
• Two- and three-mode squeezing in a three-qubit entangled system
• Collective Description of Density Matrix of Identical Multi-level Atoms for Superradiance
• Uncertainty, von Neumann Entropy, and Squeezing in a Bipartite State of Two-Level Atoms
• Optimal Displacement Sensing with Spin-Dependent Squeezed States