Simulating complex quantum networks with time crystals
arXiv:1907.13146 · doi:10.1126/sciadv.aay8892
Abstract
Crystals arise as the result of the breaking of a spatial translation symmetry. Similarly, translation symmetries can also be broken in time so that discrete time crystals appear. Here, we introduce a method to describe, characterize, and explore the physical phenomena related to this phase of matter using tools from graph theory. The analysis of the graphs allows to visualizing time-crystalline order and to analyze features of the quantum system. For example, we explore in detail the melting process of a minimal model of a period-2 discrete time crystal and describe it in terms of the evolution of the associated graph structure. We show that during the melting process, the network evolution exhibits an emergent preferential attachment mechanism, directly associated with the existence of scale-free networks. Thus, our strategy allows us to propose a previously unexplored far-reaching application of time crystals as a quantum simulator of complex quantum networks.
17 pages, 8 figures
References in corpus (35)
- Emergence of scaling in random networks
- Statistical mechanics of complex networks
- Power-law distributions in empirical data
- Chaos and Quantum Thermalization
- Many body localization and thermalization in quantum statistical mechanics
- From Quantum Chaos and Eigenstate Thermalization to Statistical Mechanics and Thermodynamics
- Universal High-Frequency Behavior of Periodically Driven Systems: from Dynamical Stabilization to Floquet Engineering
- Continuous Quantum Phase Transitions
- Atomic quantum gases in periodically driven optical lattices
- Observation of a Discrete Time Crystal
- Time-Reversal Symmetry Breaking Superconductivity in Sr2RuO4
- Observation of discrete time-crystalline order in a disordered dipolar many-body system
- Floquet Time Crystals
- On the phase structure of driven quantum systems
- Quantum Time Crystals
- High-frequency approximation for periodically driven quantum systems from a Floquet-space perspective
- Discrete time crystals: rigidity, criticality, and realizations
- Universal dynamics and renormalization in many body localized systems
- Time crystals: a review
- Spectral signatures of many-body localization with interacting photons
- Modeling spontaneous breaking of time-translation symmetry
- Universal properties of many-body delocalization transitions
- Observation of Discrete-Time-Crystal Signatures in an Ordered Dipolar Many-Body System
- Two universality classes for the many-body localization transition
- Critical Properties of the Many-Body Localization Transition
- Genuine 12-qubit entanglement on a superconducting quantum processor
- Observation of a space-time crystal in a superfluid quantum gas
- Temporal order in periodically driven spins in star-shaped clusters
- Quantum Google in a Complex Network
- Time crystals: analysis of experimental conditions
- Driven open quantum systems and Floquet stroboscopic dynamics
- Percolation in Fock space as a proxy for many-body localisation
- AC-driven Quantum Phase Transition in the Lipkin-Meshkov-Glick Model
- Ergodic-localized junctions in periodically-driven systems
- Quantum supremacy with analog quantum processors for material science and machine learning
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- Signatures of discrete time-crystallinity in transport through an open Fermionic chain
- Discrete Time Crystal Phase as a Resource for Quantum Enhanced Sensing
- Discrete time crystals enforced by Floquet-Bloch scars
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- Emergence and Dynamical Stability of Charge Time-Crystal in a Current-Carrying Quantum Dot Simulator
- Floquet theory for temporal correlations and spectra in time-periodic open quantum systems: Application to squeezed parametric oscillation beyond the rotating-wave approximation
- Bridging closed and dissipative discrete time crystals in spin systems with infinite-range interactions
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- Route to Extend the Lifetime of a Discrete Time Crystal in a Finite Spin Chain Without Disorder
- Bounding first-order quantum phase transitions in adiabatic quantum computing
- Fully-programmable universal quantum simulator with a one-dimensional quantum processor
- Dephasing-induced growth of discrete crystalline order in spin networks
- Time Crystals from single-molecule magnet arrays
- Time-tronics: from temporal printed circuit board to quantum computer
- Quantum metamorphism
- Quasi-Discrete Time Crystals in the quasiperiodically driven Lipkin-Meshkov-Glick model
- Exact analysis of AC sensors based on Floquet time crystals
- Information scrambling and entanglement dynamics in Floquet Time Crystals
- Observation of tunable discrete time crystalline phases
- Equilibration of Non-interacting Photons and Quantum Signatures of Chaos
- Discrete time crystal for periodic-field sensing with quantum-enhanced precision
- Universal scaling hypothesis of quantum spatial search in complex networks