The Unruh Effect in Slow Motion

Vriend, Silas; Grimmer, Daniel; Martín-Martínez, Eduardo

doi:10.3390/sym13111977

Cited by 12 publications

(1 citation statement)

References 62 publications

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“…But particle detectors are more than this: they are the general physical tools that allow one to obtain local information about quantum field theories. In fact, particle detector models have been used to explore the Unruh [3,5,[36][37][38][39][40][41] and Hawking effects [3,[42][43][44], accurately recover the two-point functions of quantum field theories [45,46], recover the geometry of spacetime [46,47], and develop a consistent measurement theory for quantum fields [48].…”

Section: Introductionmentioning

confidence: 99%

Localized nonrelativistic quantum systems in curved spacetimes: A general characterization of particle detector models

Perche

2022

Phys. Rev. D

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In this manuscript we provide a consistent way of describing a localized non-relativistic quantum system undergoing a timelike trajectory in a background curved spacetime. Namely, using Fermi normal coordinates, we identify an inner product and canonically conjugate position and momentum operators defined in the rest space of the trajectory for each value of its proper time. This framework then naturally provides a recipe for mapping a quantum theory defined in a non-relativistic background to a theory around a timelike trajectory in curved spacetimes. This is done by reinterpreting the position and momentum operators and by introducing a local redshift factor to the Hamiltonian, which gives rise to new dynamics due to the curvature of spacetime and the acceleration of the trajectory. We then apply our formalism to particle detector models, that is, to the case where the non-relativistic quantum system is coupled to a quantum field in a curved background. This allows one to write a general definition for particle detector models which is able to recover the previous models in the literature. Our framework also allows one to estimate the regime of validity of these models, characterizing the situations where particle detectors can be used to accurately probe quantum fields.

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Section: Introductionmentioning

confidence: 99%

Localized nonrelativistic quantum systems in curved spacetimes: A general characterization of particle detector models

Perche

2022

Phys. Rev. D

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Classical acceleration temperature (CAT) in a box

Mujtaba,

Temirkhan,

Ong

et al. 2024

Sci Rep

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A confined, non-relativistic, accelerating electron is shown to emit thermal radiation. Since laboratories face spatial constraints when dealing with rectilinear motion, focusing on a finite total travel distance combines the benefits of simple theoretical analysis with prospects for table-top experimentation. We demonstrate an accelerated moving charge along an asymptotically static worldline with fixed transit distance and non-relativistic maximum speed, emitting self-consistent analytic power, spectra, and energy. The classical radiation is Planck distributed with an associated acceleration temperature. This is the first fully parametrized, spectrum-solved, finite-distance worldline.

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Dispersive vacuum as a decoherence amplifier of an Unruh–DeWitt detector

Barros,

Costa

2024

J. Phys. A: Math. Theor.

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Recently, interest has been growing in studies on discrete or "pixelated'' space-time that, through modifications in the dispersion relation, can treat the vacuum as a dispersive medium. Discrete spacetime considers that spacetime has a cellular structure on the order of the Planck length, and if this is true we should certainly have observable effects. In this paper, we investigated the effects caused by the dispersive vacuum on the decoherence process of an Unruh-DeWitt detector, our setup consists of a uniformly accelerated detector, initially in a qubit state, which interacts with a massless scalar field during a time interval finite. We use dispersion relations drawn from doubly special relativity and Hořava-Lifshitz gravity, with these modifications the vacuum becomes dispersive and has a corresponding refractive index. We calculate the probability transition rates, the probability of finding the detector in the ground state, and the quantum coherence variation. Our results indicate that the decoherence process occurs more quickly in cases with changes in the dispersion relation in the regime of high accelerations and interaction time. Additionally, the decoherence increases as the vacuum becomes more dispersive due to the increase in the order of modification in the dispersion relation, and this happens because the dispersive vacuum amplifies the effects of quantum fluctuations that are captured by the detector when interacting with the field.

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The Unruh Effect in Slow Motion

Cited by 12 publications

References 62 publications

Localized nonrelativistic quantum systems in curved spacetimes: A general characterization of particle detector models

Localized nonrelativistic quantum systems in curved spacetimes: A general characterization of particle detector models

Classical acceleration temperature (CAT) in a box

Dispersive vacuum as a decoherence amplifier of an Unruh–DeWitt detector

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