Impurities as a quantum thermometer for a Bose-Einstein condensate

Sabín, Carlos; White, Angela; Hackermüller, Lucia; Fuentes, Ivette

doi:10.1038/srep06436

Cited by 92 publications

(103 citation statements)

References 49 publications

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“…The two spins are coupled through an Ising interaction. This model, which can be realized in ultra-cold atoms [37][38][39] , reveals a dissipative quantum phase transition similar to the onespin situation, but occurring at a smaller dissipation strength 23,[40][41][42] , which facilitates the application of numerical methods such as the SSE method in a large window of the phase diagram. Using the Rabi-type dynamics of the spin system, we reproduce the phase diagram obtained using the NRG approach 23 and QMC 42 , showing the trustability of the SSE method.…”

Section: Introductionmentioning

confidence: 82%

“…Here, ω c is a high energy cutoff and the dimensionless parameter α quantifies the strength of the interaction with the bath. These parameters can be derived microscopically for an ultra-cold atom setting [37][38][39] . The bath induces both a renormalization of the tunneling element ∆, and a strong Ising-type ferromagnetic interaction K |j−p| between the spins j and p, which is mediated by an exchange of bosonic excitations at low wave vectors 38 .…”

Section: B Bath Effectsmentioning

confidence: 99%

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Quantum sweeps, synchronization, and Kibble-Zurek physics in dissipative quantum spin systems

Henriet

Hur

2016

Phys. Rev. B

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We address dissipation effects on the non-equilibrium quantum dynamics of an ensemble of spins-1/2 coupled via an Ising interaction. Dissipation is modeled by a (ohmic) bath of harmonic oscillators at zero temperature and correspond either to the sound modes of a one-dimensional Bose-Einstein (quasi-)condensate or to the zero-point fluctuations of a long transmission line. We consider the dimer comprising two spins and the quantum Ising chain with long-range interactions, and develop a (mathematically and numerically) exact stochastic approach to address non-equilibrium protocols in the presence of an environment. For the two spin case, we first investigate the dissipative quantum phase transition induced by the environment through quantum quenches, and study the effect of the environment on the synchronization properties. Then, we address Landau-Zener-StueckelbergMajorana protocols for two spins, and for the spin array. In this latter case, we adopt a stochastic mean-field point of view and present a Kibble-Zurek type argument to account for interaction effects in the lattice. Such dissipative quantum spin arrays can be realized in ultra-cold atoms, trapped ions, mesoscopic systems, and are related to Kondo lattice models.

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Section: Introductionmentioning

confidence: 82%

Section: B Bath Effectsmentioning

confidence: 99%

Quantum sweeps, synchronization, and Kibble-Zurek physics in dissipative quantum spin systems

Henriet

Hur

2016

Phys. Rev. B

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“…A relevant example is extracting the temperature, T B , of a bosonic bath [45,46]. Taking the ratio of the above-mentioned symmetric and antisymmetric spectral components, S + , (ω)/S − , (ω), for ω > 0, gives access to coth(ωβ/2), from which one may extract β = /k B T B and thereby T B .…”

mentioning

confidence: 99%

Multiqubit spectroscopy of Gaussian quantum noise

2017

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We introduce multi-pulse quantum noise spectroscopy protocols for spectral estimation of the noise affecting multiple qubits coupled to Gaussian dephasing environments including both classical and quantum sources. Our protocols are capable of reconstructing all the noise auto-and cross-correlation spectra entering the multiqubit dynamics. We argue that this capability is crucial not only for metrological purposes, as it provides access to the asymmetric spectra associated with non-classical environments, but ultimately for achieving quantum fault-tolerance, as it enables the characterization of bath correlation functions. Our result relies on (i) an exact analytic solution for the reduced multiqubit dynamics that holds in the presence of an arbitrary Gaussian environment and dephasing-preserving control; (ii) the use of specific timing symmetries in the control, which allow for a frequency comb to be engineered for all filter functions of interest, and for the spectra to be related to experimentally accessible qubit observables. We show that quantum spectra have distinctive dynamical signatures, which we explore in two paradigmatic open-system models describing spin and charge qubits coupled to bosonic environments. Complete multiqubit noise spectroscopy is demonstrated numerically in a realistic setting consisting of two-exciton qubits coupled to a phonon bath. The estimated spectra allow us to accurately predict the exciton dynamics as well as extract the temperature and spectral density of the quantum environment. CONTENTS

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“…With the progress in manipulation of individual quantum system, the study of thermometry precision, using individual quantum system as a probe, has attracted considerable attentions [16][17][18][19][20][21][22]. Specifically, Ref.…”

Section: Introductionmentioning

confidence: 99%

“…And Refs. [21,22] used two-level atomic quantum dots as thermometers of BECs. The fundamental and important questions such as the scaling of the precision of temperature estimation with the number of quantum probes has been discussed in Ref.…”

Section: Introductionmentioning

confidence: 99%

Improved thermometry of low-temperature quantum systems by a ring-structure probe

Guo

Zou

et al. 2015

Phys. Rev. A

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The thermometry precision of a sample is a question of both fundamental and technological importance. In this paper, we consider a ring-structure system as our probe to estimate the temperature of a bath. Based on the Markovian master equation of the probe, we calculate the quantum Fisher information (QFI) of the probe at any time. We find that for the thermal equilibrium thermometry, the ferromagnetic structure can measure a lower temperature of the bath with a higher precision compared with the non-structure probe. While for the dynamical thermometry, the antiferromagnetic structure can make the QFI of the probe in the dynamical process much larger than that in equilibrium with the bath, which is somewhat counterintuitive. Moreover, the best accuracy for the thermometry achieved in the antiferromagnetic structure case can be much higher than that in the non-structure case. The physical mechanisms of above phenomena are given in this paper.

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Impurities as a quantum thermometer for a Bose-Einstein condensate

Cited by 92 publications

References 49 publications

Quantum sweeps, synchronization, and Kibble-Zurek physics in dissipative quantum spin systems

Quantum sweeps, synchronization, and Kibble-Zurek physics in dissipative quantum spin systems

Multiqubit spectroscopy of Gaussian quantum noise

Improved thermometry of low-temperature quantum systems by a ring-structure probe

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