Two-dimensional spectroscopy for the study of ion Coulomb crystals
arXiv:1407.1071 · doi:10.1103/PhysRevLett.114.073001
Abstract
Ion Coulomb crystals are currently establishing themselves as a highly controllable test-bed for mesoscopic systems of statistical mechanics. The detailed experimental interrogation of the dynamics of these crystals however remains an experimental challenge. In this work, we show how to extend the concepts of multi-dimensional nonlinear spectroscopy to the study of the dynamics of ion Coulomb crystals. The scheme we present can be realized with state-of-the-art technology and gives direct access to the dynamics, revealing nonlinear couplings even in the presence of thermal excitations. We illustrate the advantages of our proposal showing how two-dimensional spectroscopy can be used to detect signatures of a structural phase transition of the ion crystal, as well as resonant energy exchange between modes. Furthermore, we demonstrate in these examples how different decoherence mechanisms can be identified.
arXiv comment5 + 11 pages, close to published version
References in corpus (27)
- Effective quantum spin systems with ion traps
- Quantum dynamics of cold trapped ions, with application to quantum computation
- Onset of a Quantum Phase Transition with a Trapped Ion Quantum Simulator
- Symmetry Breaking and Topological Defect Formation in Ion Coulomb Crystals
- Observation of the Kibble-Zurek scaling law for defect formation in ion crystals
- Cooling the Collective Motion of Trapped Ions to Initialize a Quantum Register
- Structural defects in ion crystals by quenching the external potential: the inhomogeneous Kibble-Zurek mechanism
- Structural phase transitions in low-dimensional ion crystals
- Bose-Einstein Condensation and strong-correlation behavior of phonons in ion traps
- Controlling and measuring quantum transport of heat in trapped-ion crystals
- Quantum zigzag transition in ion chains
- Sympathetic ground state cooling and coherent manipulation with two-ion-crystals
- Nanofriction in Cold Ion Traps
- Double wells, scalar fields and quantum phase transitions in ions traps
- Phonon-phonon interactions due to non-linear effects in a linear ion trap
- Frenkel-Kontorova model with cold trapped ions
- Observation of power-law scaling for phase transitions in linear trapped ion crystals
- Nonlinear coupling of continuous variables at the single quantum level
- Modes of Oscillation in Radiofrequency Paul Traps
- Spectroscopy and Thermometry of Drumhead Modes in a Mesoscopic Trapped-Ion Crystal using Entanglement
- Theory of Cross Phase Modulation for the Vibrational Modes of Trapped Ions
- Quantum structural phase transition in chains of interacting atoms
- Non-invasive vibrational mode spectroscopy of ion Coulomb crystals through resonant collective coupling to an optical cavity field
- Spin-Peierls Quantum Phase Transitions in Coulomb Crystals
- Nonlinear Spectroscopy of Controllable Many-Body Quantum Systems
- Simulation of Jahn-Teller-Dicke Magnetic Structural Phase Transition with Trapped Ions
- Precision measurements in ion traps using slowly moving standing waves
Cited by in corpus (11)
- Long-range interacting quantum systems
- Fast thermometry for trapped ions using dark resonances
- Prospects of reaching the quantum regime in Li-Yb mixtures
- Local probe of single phonon dynamics in warm ion crystals
- Spin and motion dynamics with zigzag ion crystals in transverse magnetic field gradients
- Noise-induced transport in the motion of trapped ions
- Probing Polariton Dynamics in Trapped Ions with Phase-Coherent Two-Dimensional Spectroscopy
- Multi-modal spectroscopy of order parameter distributions
- Non-Hermitian Hamiltonian Approach for Two-Dimensional Coherent Spectra of Driven Systems
- Numerically-Exact Quantum-Simulation Approach for Two-Dimensional Spectroscopy of Open Quantum Systems
- From Quantum Optics to Quantum Technologies