Glassy quantum dynamics of disordered Ising spins

Schultzen, Philipp; Franz, Titus; Geier, Sebastian; Salzinger, Andre; Tebben, Annika; Hainaut, Clément; Zürn, Gerhard; Weidemüller, Matthias; Gärttner, Martin

doi:10.1103/physrevb.105.l020201

Cited by 12 publications

(7 citation statements)

References 38 publications

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“…1 was averaged over 100 samples of random atom positions to decrease statistical fluctuations from random couplings (see methods). The magnetization relaxes to zero slowly, following a stretched exponential law as discussed in previous work [7,38,39], and reaches a steady-state on a time scale of ∼ 10J −1 median in units of the inverse median nearest neighbor interaction strength. The steady-state value agrees with diagonal and microcanonical ensemble predictions (orange and blue hollow arrows) as all eigenstates already have vanishing x-magnetization due An external field represented by the violet arrow couples the energy levels of each spin- 1 2 particle resonantly with a field strength Ω.…”

Section: Magnetization As a Probe For Thermalizationmentioning

confidence: 67%

Absence of thermalization in an interacting system of thousands of quantum spins

Franz¹,

Geier²,

Hainaut³

et al. 2022

Preprint

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Section: Magnetization As a Probe For Thermalizationmentioning

confidence: 67%

Absence of thermalization in an interacting system of thousands of quantum spins

Franz¹,

Geier²,

Hainaut³

et al. 2022

Preprint

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“…The model Hamiltonian We analyze our observation by the long-range quantum Ising model [43][44][45][46][47][48]. The model Hamiltonian is…”

Section: Ramsey Interferogrammentioning

confidence: 99%

“…Exact analytical solution The Ising spin model in Eq. ( 2) has an exact analytical solution that fully takes into account the many-body correlations [43][44][45][46][47][48]. The Ramsey signal of the j-th atoms is…”

Section: Ramsey Interferogrammentioning

confidence: 99%

Ultrafast Many-Body Dynamics in an Ultracold Rydberg-Excited Atomic Mott Insulator

Bharti¹,

Sugawa²,

Mizoguchi³

et al. 2022

Preprint

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We report the observation and control of ultrafast non-equilibrium many-body electron dynamics in Rydbergexcited spatially-ordered ultracold atoms created from a three-dimensional unity-filling atomic Mott insulator. By implementing time-domain Ramsey interferometry with attosecond precision in our Rydberg atomic system, we observe picosecond-scale ultrafast many-body dynamics that is essentially governed by the emergence and evolution of many-body correlations between long-range interacting atoms in an optical lattice. We analyze our observations with different theoretical approaches and find that quantum fluctuations have to be included beyond semi-classical descriptions to describe the observed dynamics. Our Rydberg lattice platform combined with an ultrafast approach, which is robust against environmental noises, opens the door for simulating stronglycorrelated electron dynamics by long-range van der Waals interaction and resonant dipole-dipole interaction to the charge-overlapping regime in synthetic ultracold atomic crystals.

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“…However, in a disordered system where the spins are randomly positioned in space, the interaction strengths between the spins can be distributed scale-invariantly. For example, it was shown analytically for the dynamics of the quantum Ising model that this distribution of coupling strengths induces a stretched exponential law [26]. This analytic solution is only possible because the Ising model features an extensive number of conserved quantities, i.e.…”

Section: Introductionmentioning

confidence: 99%

Observation of universal relaxation dynamics in disordered quantum spin systems

Franz¹,

Geier²,

Hainaut³

et al. 2022

Preprint

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A major goal toward understanding far-from-equilibrium dynamics of quantum many-body systems consists in finding indications of universality in the sense that the dynamics no longer depends on microscopic details of the system. We realize a large range of many-body spin systems on a Rydberg atom quantum simulator by choosing appropriate Rydberg state combinations. We use this platform to compare the magnetization relaxation dynamics of disordered Heisenberg XX-, XXZand Ising Hamiltonians in a scalable fashion. After appropriate rescaling of evolution time, the dynamics collapse onto a single curve. We find that the observed universal behavior is captured by theoretical models that only consider local pairs of spins. Associated to each pair is a local quasi-conserved quantity, allowing us to describe the early time dynamics of the system in terms of an integrable model similar to systems featuring prethermalization. Since the dynamics of pairs are independent of the type of Hamiltonian up to a scaling factor, this integrable model explains the observed universal relaxation dynamics of disordered Heisenberg quantum spin systems.

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Glassy quantum dynamics of disordered Ising spins

Cited by 12 publications

References 38 publications

Absence of thermalization in an interacting system of thousands of quantum spins

Absence of thermalization in an interacting system of thousands of quantum spins

Ultrafast Many-Body Dynamics in an Ultracold Rydberg-Excited Atomic Mott Insulator

Observation of universal relaxation dynamics in disordered quantum spin systems

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