Persistent dark states in anisotropic central spin models

Villazon, Tamiro; Claeys, Pieter W.; Pandey, Mohit; Polkovnikov, Anatoli; Chandran, Anushya

doi:10.1038/s41598-020-73015-1

Cited by 21 publications

(9 citation statements)

References 75 publications

(108 reference statements)

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“…Fidelity susceptibilities are commonly used to detect quantum phase transitions [64][65][66][67][68]. We find that the departure from quantum chaos is characterized by a higher sensitivity of eigenstates to perturbations [44,61,69], which results in maxima of the typical fidelity susceptibility that scale with the square of the inverse level spacing. The shifts in the maxima's positions with system size are consistent with, at infinite temperature in the thermodynamic limit, quantum chaos only failing to occur at the unperturbed integrable, noninteracting disorder-localized, and integrable infiniteinteraction (classical) limits.…”

mentioning

confidence: 83%

Universality in the onset of quantum chaos in many-body systems

LeBlond,

Sels,

Polkovnikov

et al. 2020

Preprint

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We show that the onset of quantum chaos at infinite temperature in two many-body 1D lattice models, the perturbed spin-1/2 XXZ and Anderson models, is characterized by universal behavior. Specifically, we show that the onset of quantum chaos is marked by maxima of the typical fidelity susceptibilities that scale with the square of the inverse average level spacing, saturating their upper bound, and that the strength of the integrability/localization breaking perturbation at these maxima decreases with increasing system size. We also show that the spectral function below the "Thouless" energy (in the quantum-chaotic regime) diverges when approaching those maxima. Our results suggest that, in the thermodynamic limit, arbitrarily small integrability/localization breaking perturbations result in quantum chaos in the many-body quantum systems studied here.

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confidence: 83%

Universality in the onset of quantum chaos in many-body systems

LeBlond,

Sels,

Polkovnikov

et al. 2020

Preprint

Self Cite

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“…Spectral properties of the XX model have been studied, e.g., in Refs. [67][68][69], and analytical expressions for its dynamics are available for specific initial states [70,71]. With regard to practical applications, the XX central spin model can describe, e.g., an electron in a semiconductor quantum dot, interacting with an external magnetic field which cancels out its z-z interactions with the bath [72,73].…”

Section: B Derivation Of the Effective Spin Hamiltonianmentioning

confidence: 99%

Quantum simulation of the central spin model with a Rydberg atom and polar molecules in optical tweezers

Dobrzyniecki¹,

Tomza²

2023

Preprint

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Central spin models, where a single spinful particle interacts with a spin environment, find wide application in quantum information technology and can be used to describe, e.g., the decoherence of a qubit over time. We propose a method of realizing an ultracold quantum simulator of a central spin model with XX (spin-exchanging) interactions. The proposed system consists of a single Rydberg atom ("central spin") and surrounding polar molecules ("bath spins"), coupled to each other via dipole-dipole interactions. By mapping internal particle states to spin states, spin-exchanging interactions can be simulated. As an example system geometry, we consider a ring-shaped arrangement of bath spins, and show how it allows to exact precise control over the interaction strengths. We demonstrate that this setup allows to realize a central spin model with highly tunable parameters and geometry, for applications in quantum science and technology.

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“…Such models are relevant in the description of hyperfine interactions between quantum dots [48] or nitrogen-vacancy centers in diamond [49] and their environment. Moreover, they are known to display interesting dynamical phenomena both in closed and driven-dissipative scenarios [8,[50][51][52][53]. Our starting point is an XX-Hamiltonian ( ̵ h = 1) where all system spins are resonantly driven with a Rabi frequency ω and coupled with the same strength g to the central spin [see Fig.…”

Section: Dissipative Central Spin Modelmentioning

confidence: 99%

Metastable discrete time-crystal resonances in a dissipative central spin system

2022

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We consider the non-equilibrium behavior of a central spin system where the central spin is periodically reset to its ground state. The quantum mechanical evolution under this effectively dissipative dynamics is described by a discrete-time quantum map. Despite its simplicity this problem shows surprisingly complex dynamical features. In particular, we identify several metastable time-crystal resonances. Here the system does not relax rapidly to a stationary state but undergoes long-lived oscillations with a period that is an integer multiple of the reset period. At these resonances the evolution becomes restricted to a low-dimensional state space within which the system undergoes a periodic motion. Generalizing the theory of metastability in open quantum systems, we develop an effective description for the evolution within this long-lived metastable subspace and show that in the long-time limit a non-equilibrium stationary state is approached. Our study links to timely questions concerning emergent collective behavior in the "prethermal" stage of a dissipative quantum many-body evolution and may establish an intriguing link to the phenomenon of quantum synchronization.

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Persistent dark states in anisotropic central spin models

Cited by 21 publications

References 75 publications

Universality in the onset of quantum chaos in many-body systems

Universality in the onset of quantum chaos in many-body systems

Quantum simulation of the central spin model with a Rydberg atom and polar molecules in optical tweezers

Metastable discrete time-crystal resonances in a dissipative central spin system

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