Quantum sensors for the generating functional of interacting quantum field theories
arXiv:1704.02877 · doi:10.1103/PhysRevX.7.041012
Abstract
Difficult problems described in terms of interacting quantum fields evolving in real time or out of equilibrium are abound in condensed-matter and high-energy physics. Addressing such problems via controlled experiments in atomic, molecular, and optical physics would be a breakthrough in the field of quantum simulations. In this work, we present a quantum-sensing protocol to measure the generating functional of an interacting quantum field theory and, with it, all the relevant information about its in or out of equilibrium phenomena. Our protocol can be understood as a collective interferometric scheme based on a generalization of the notion of Schwinger sources in quantum field theories, which make it possible to probe the generating functional. We show that our scheme can be realized in crystals of trapped ions acting as analog quantum simulators of self-interacting scalar quantum field theories.
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References in corpus (28)
- Quantum computing with trapped ions
- 14-qubit entanglement: creation and coherence
- Optimized Dynamical Decoupling in a Model Quantum Memory
- Experimental Quantum Computations on a Topologically Encoded Qubit
- Atomic Quantum Simulation of U(N) and SU(N) Non-Abelian Lattice Gauge Theories
- A cold-atom quantum simulator for SU(2) Yang-Mills lattice gauge theory
- Non-thermal fixed points: effective weak-coupling for strongly correlated systems far from equilibrium
- Gibbons-Hawking Effect in the Sonic de Sitter Space-Time of an Expanding Bose-Einstein-Condensed Gas
- Electrical conductivity and charge diffusion in thermal QCD from the lattice
- Atomic quantum simulator for lattice gauge theories and ring exchange models
- Optical Abelian Lattice Gauge Theories
- Wilson Fermions and Axion Electrodynamics in Optical Lattices
- Cold atom simulation of interacting relativistic quantum field theories
- Structural defects in ion crystals by quenching the external potential: the inhomogeneous Kibble-Zurek mechanism
- Structural phase transitions in low-dimensional ion crystals
- Simulating 2+1d Lattice QED with dynamical matter using ultracold atoms
- Quantum zigzag transition in ion chains
- BQP-completeness of Scattering in Scalar Quantum Field Theory
- Fermion-Fermion Scattering in Quantum Field Theory with Superconducting Circuits
- Detection of acceleration radiation in a Bose-Einstein condensate
- An improved lattice measurement of the critical coupling in phi^4_2 theory
- Precise Experimental Investigation of Eigenmodes in a Planar Ion Crystal
- Measuring correlations of cold atom systems using multiple quantum probes
- Quantum structural phase transition in chains of interacting atoms
- Triviality of theory: small volume expansion and new data
- From classical to quantum criticality
- Topological Wilson-loop area law manifested using a superposition of loops
- Localization of ions within one-, two- and three-dimensional Coulomb crystals by a standing wave optical potential
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- Quantum-Classical Computation of Schwinger Model Dynamics using Quantum Computers
- SU(2) non-Abelian gauge field theory in one dimension on digital quantum computers
- Review on novel methods for lattice gauge theories
- Standard Model Physics and the Digital Quantum Revolution: Thoughts about the Interface
- Digitization of Scalar Fields for Quantum Computing
- General Methods for Digital Quantum Simulation of Gauge Theories
- Real-time chiral dynamics from a digital quantum simulation
- Minimally-Entangled State Preparation of Localized Wavefunctions on Quantum Computers
- Classically emulated digital quantum simulation for screening and confinement in the Schwinger model with a topological term
- Quantum simulation of quantum field theories as quantum chemistry
- gauge theories coupled to topological fermions: QED with a quantum-mechanical angle
- Quantum Simulation of Chiral Phase Transitions
- Real-time dynamics of Chern-Simons fluctuations near a critical point
- Detecting the critical point through entanglement in Schwinger model
- Direct measurement of the two-point function in quantum fields
- Robustness of quantum correlation in quantum energy teleportation
- Entanglement Generation and Decoherence in a Two-Qubit System Mediated by Relativistic Quantum Field
- 3+1 Dimension Schwinger Pair Production with Quantum Computers
- Long-range Ising interactions mediated by fields: probing the renormalisation of sound in crystals of trapped ions
- Negative string tension of higher-charge Schwinger model via digital quantum simulation
- Thermal masses and trapped-ion quantum spin models: a self-consistent approach to Yukawa-type interactions in the model
- Non-destructively probing the thermodynamics of quantum systems with qumodes