Quantum quenches of ion Coulomb crystals across structural instabilities. II. Thermal effects

Baltrusch, Jens D.; Cormick, Cecilia; Morigi, Giovanna

doi:10.1103/physreva.87.032116

Cited by 4 publications

(4 citation statements)

References 37 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…The idea, then, is to deduce some of the properties of the environment by monitoring the reduced dynamics of the probe only [2][3][4]. Here we apply this framework to Ramsey interferometry using a single spin in a Coulomb crystal [5][6][7][8]. A Coulomb crystal can be depicted as a low-dimensional structure composed of several dozens of ions trapped in anisotropic potentials with very large transverse confinement [9].…”

mentioning

confidence: 99%

Non-Markovian qubit dynamics induced by Coulomb crystals

et al. 2013

View full text Add to dashboard Cite

We investigate the back-flow of information in a system with a second-order structural phase transition, namely a quasi one-dimensional Coulomb crystal. Using standard Ramsey interferometry which couples a target ion (the system) to the rest of the chain (a phononic environment), we study the non-Markovian character of the resulting open system dynamics. We study two different time-scales and show that the back-flow of information pinpoints both the phase transition and different dynamical features of the chain as it approaches criticality. We also establish an exact link between the back-flow of information and the Ramsey fringe visibility.Comment: 5 pages, 3 figure

show abstract

mentioning

confidence: 99%

Non-Markovian qubit dynamics induced by Coulomb crystals

et al. 2013

View full text Add to dashboard Cite

show abstract

“…However, more dimensional Coulomb crystals in RFtraps experience theeven more enhanced impact of the RFfield on the ions, since the ions are intrinsically displaced from the RF-free axis. In this context, the state dependency of optical trapping potentials and the available coherent control of electronic states can be exploited to follow intriguing proposals on structural phase transitions [69][70][71][72] and related quantum effects. Optionally, embedding sympathetically cooled (molecular) ions or even sympathetically cooled, positively charged ions, whicharesufficiently close, but spatially separated fromions of negative charge will enrichprospects.…”

Section: Coulomb Crystals In Optical Trapsmentioning

confidence: 99%

Trapping ions and atoms optically

Schaetz

2017

J. Phys. B: At. Mol. Opt. Phys.

View full text Add to dashboard Cite

Isolating neutral and charged particles from the environment is essential in precision experiments. For decades, this has been achieved by trapping ions with radio-frequency (rf) fields and neutral particles with optical fields. Recently, trapping of ions by interaction with light has been demonstrated. This might permit combining the advantages of optical trapping and ions. For example, by superimposing optical traps to investigate ensembles of ions and atoms in absence of any radiofrequency fields, as well as to benefit from the versatile and scalable trapping geometries featured by optical lattices. In particular, ions provide individual addressability, electronic and motional degrees of freedom that can be coherently controlled and detected via high fidelity, state-dependent operations. Their long-range Coulomb interaction is significantly larger compared to those of neutral atoms and molecules. This qualifies to study ultra-cold interaction and chemistry of trapped ions and atoms, as well as to provide a novel platform for higher-dimensional experimental quantum simulations. The aim of this topical review is to present the current state of the art and to discuss current challenges and the prospects of the emerging field.

show abstract

“…The realization of spin systems with tunable interactions [22], the simulation of relativistic Klein tunneling [23], friction at the nanoscale [24][25][26] and the realization of the Jaynes-Cummings model [27] are only a few prominent examples. Also in the context of time-dependent, out of equilibrium physics, these systems have been used to study the transport of energy and particles [28][29][30][31][32], the scaling of defects formation by ramping across the zigzag transition [33,34] and provided an experimental test of the Jarzynski equality in the quantum regime [35].…”

Section: Introductionmentioning

confidence: 99%

Operator-based derivation of phonon modes and characterization of correlations for trapped ions at zero and finite temperature

2016

View full text Add to dashboard Cite

We present a self-contained operator-based approach to derive the spectrum of trapped ions. This approach provides the complete normal form of the low-energy quadratic Hamiltonian in terms of bosonic phonons, as well as an effective free-particle degree of freedom for each spontaneously broken spatial symmetry. We demonstrate how this formalism can directly be used to characterize an ion chain both in the linear and the zigzag regimes. In particular, we compute, both for the ground state and finite temperature states, spatial correlations, heat capacity, and dynamical susceptibility. Last, for the ground state, which has quantum correlations, we analyze the amount of energy reduction compared to an uncorrelated state with minimum energy, thus highlighting how the system can lower its energy by correlations.

show abstract

Quantum quenches of ion Coulomb crystals across structural instabilities. II. Thermal effects

Cited by 4 publications

References 37 publications

Non-Markovian qubit dynamics induced by Coulomb crystals

Non-Markovian qubit dynamics induced by Coulomb crystals

Trapping ions and atoms optically

Operator-based derivation of phonon modes and characterization of correlations for trapped ions at zero and finite temperature

Contact Info

Product

Resources

About