Observing a Quantum Phase Transition by Measuring a Single Spin

Abstract

We show that the ground-state quantum correlations of an Ising model can be detected by monitoring the time evolution of a single spin alone, and that the critical point of a quantum phase transition is detected through a maximum of a suitably defined observable. A proposed implementation with trapped ions realizes an experimental probe of quantum phase transitions which is based on quantum correlations and scalable for large system sizes.

5 pages, 2 figures

References in corpus (11)

• Quantum phase transition from a superfluid to a Mott insulator in a gas of ultracold atoms
• Entanglement detection
• QuTiP 2: A Python framework for the dynamics of open quantum systems
• Observation of entanglement propagation in a quantum many-body system
• Non-local propagation of correlations in long-range interacting quantum systems
• Quantum Phase Transitions and Bipartite Entanglement
• Quantum discord and quantum phase transition in spin chains
• Linking Quantum Discord to Entanglement in a Measurement
• All non-classical correlations can be activated into distillable entanglement
• Entropy of entanglement and correlations induced by a quench: Dynamics of a quantum phase transition in the quantum Ising model
• Local witness for bipartite quantum discord

Cited by in corpus (16)

• Non-Markovian dynamics in open quantum systems
• Measuring correlations of cold atom systems using multiple quantum probes
• Experimental investigation of the effect of classical noise on quantum non-Markovian dynamics
• Probing Quantum Memory Effects with High Resolution
• Two-step procedure to discriminate discordant from classical correlated or factorized states
• Local probe of single phonon dynamics in warm ion crystals
• Non-Markovianity of Quantum Brownian Motion
• Quantum Phase Transitions detected by a local probe using Time Correlations and Violations of Leggett-Garg Inequalities
• Universal two-time correlations, out-of-time-ordered correlators and Leggett-Garg inequality violation by edge Majorana fermion qubits
• Criticality of environmental information obtainable by dynamically controlled quantum probes
• Semiclassical excited-state signatures of quantum phase transitions in spin chains with variable-range interactions
• Non-Markovian to Markovian decay in structured environments with correlated disorder
• Probing Majorana Modes via Local Spin Dynamics
• The local detection method: Dynamical detection of quantum discord with local operations
• Revealing correlations between a system and an inaccessible environment
• Manifestation of critical effects in environmental parameter estimation using a quantum sensor under dynamical control