Simulating Dynamical Phases of Chiral 
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 Superconductors with a Trapped ion Magnet

Shankar, Athreya; Yuzbashyan, Emil A.; Gurarie, Victor; Zoller, P.; Bollinger, John J.; Rey, Ana María

doi:10.1103/prxquantum.3.040324

Cited by 9 publications

(2 citation statements)

References 44 publications

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“…Ultracold atoms or ions interacting via an optical cavity or lattice vibrational (phonon) mode seem particularly promising. Several studies explained how to simulate far from equilibrium quantum BCS dynamics similar to ours in these systems [40][41][42][43]. In particular, it appears simple to prepare the system in the t = 0 + (infinite coupling) BCS ground state.…”

Section: Introductionmentioning

confidence: 86%

Nonlocality as the source of purely quantum dynamics of BCS superconductors

Zabalo

Pixley

et al. 2022

Phys. Rev. B

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We show that the classical (mean-field) description of far from equilibrium superconductivity is exact in the thermodynamic limit for local observables but breaks down for global quantities, such as the entanglement entropy or Loschmidt echo. We do this by solving for and comparing exact quantum and exact classical longtime dynamics of a BCS superconductor with interaction strength inversely proportional to time and evaluating local observables explicitly. Mean-field is exact for both normal and anomalous averages (superconducting order) in the thermodynamic limit. However, for anomalous expectation values this limit does not commute with adiabatic and strong coupling limits and, as a consequence, their quantum fluctuations can be unusually strong. The long-time steady state of the system is a gapless superconductor whose superfluid properties are only accessible through energy resolved measurements. This state is non-thermal but conforms to an emergent Generalized Gibbs Ensemble. Our study clarifies the nature of symmetry-broken many-body states in and out of equilibrium and fills a crucial gap in the theory of time-dependent quantum integrability. ment entropy in Sec. XII. We conclude and outline possible directions for future research in Sec. XIII. II. SUMMARY OF THE PAPERThis section is a condensed version of the present paper. We first summarize our key results and then separately list several notable complementary findings. We obtain four key results in this paper:(1) The exact long-time solution of the non-stationary Schrödinger equation for the BCS Hamiltonian, see Eq. ( 11), with superconducting coupling g(t) = 1 νt . The initial condition is the exact ground state at t = 0 + .

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Section: Introductionmentioning

confidence: 86%

Nonlocality as the source of purely quantum dynamics of BCS superconductors

Zabalo

Pixley

et al. 2022

Phys. Rev. B

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“…The takeaway is that, in a far-from equilibrium situation, a topological change (W = Q) can be encoded in real bulk observables, due to the induced quasiparticle population inversion [112,187]. This predicted bulk population inversion was very recently proposed as an experimental signature for the topological transition in a trapped ion magnet [188].…”

Section: Topological Featuresmentioning

confidence: 99%

Dynamical phase transitions in the collisionless pre-thermal states of isolated quantum systems: theory and experiments

et al. 2022

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We overview the concept of dynamical phase transitions in isolated quantum systems quenched out of equilibrium. We focus on non-equilibrium transitions characterized by an order parameter, which features qualitatively distinct temporal behaviour on the two sides of a certain dynamical critical point. Dynamical phase transitions are currently mostly understood as long-lived prethermal phenomena in a regime where inelastic collisions are incapable to thermalize the system. The latter enables the dynamics to sub stain phases that explicitly break detailed balance and therefore cannot be encompassed by traditional thermodynamics. Our presentation covers both cold atoms as well as condensed matter systems. We revisit a broad plethora of platforms exhibiting pre-thermal DPTs, which become theoretically tractable in a certain limit, such as for a large number of particles, large number of order parameter components, or large spatial dimension. The systems we explore include, among others, quantum magnets with collective interactions,φ4quantum field theories, and Fermi-Hubbard models. A section dedicated to experimental explorations of DPTs in condensed matter and AMO systems connects this large variety of theoretical models

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In Situ‐Tunable Spin–Spin Interactions in a Penning Trap with In‐Bore Optomechanics

Pham,

Jee,

Rischka

et al. 2024

Adv Quantum Tech

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Experimental implementations of quantum simulation must balance control‐field‐induced decoherence with the controllability of the quantum system. The ratio of coherent interaction strength to decoherence induced by stimulated emission in atomic systems is typically determined by hardware constraints, limiting the flexibility needed to explore different operating regimes. Here, an optomechanical system is presented for in situ tuning of the coherent spin‐motion and spin‐spin interaction strength in 2D ion crystals in a Penning trap. Enabled by precision closed‐loop piezo‐actuated positioners integrated into the confined space of a superconducting magnet's bore, the system allows tuning of the angle‐of‐incidence of Raman laser beams up to , governing the ratio of coherent to incoherent light‐matter interaction for fixed optical power. System characterization involves measurements of the induced mean‐field spin precession under the application of an optical dipole force in ion crystals cooled below the Doppler limit through electromagnetically induced transparency cooling. These experiments show approximately a variation in the coherent to incoherent interaction ratio with changing , consistent with theoretical predictions. The system stability is characterized over 6000 s, resulting in a drift rate of h–1. These technical developments will be crucial in future quantum simulations and sensing applications.

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Simulating Dynamical Phases of Chiral p+ip Superconductors with a Trapped ion Magnet

Cited by 9 publications

References 44 publications

Nonlocality as the source of purely quantum dynamics of BCS superconductors

Nonlocality as the source of purely quantum dynamics of BCS superconductors

Dynamical phase transitions in the collisionless pre-thermal states of isolated quantum systems: theory and experiments

In Situ‐Tunable Spin–Spin Interactions in a Penning Trap with In‐Bore Optomechanics

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