Expanding edges of quantum Hall systems in a cosmology language: Hawking radiation from de Sitter horizon in edge modes

Hotta, Masahiro; Nambu, Yasusada; Yuuki, Sugiyama,; Yamamoto, Kazuhiro; Yusa, Go

doi:10.1103/physrevd.105.105009

Cited by 11 publications

(4 citation statements)

References 55 publications

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“…This diagram corresponds to π/4 < LH < π/2 case. For parameter values not included in this range, global structure of the spacetime becomes different (see [12]).…”

Section: B Amentioning

confidence: 99%

“…Thus, it is possible to perform experiments of the quantum scalar field in an analog expanding universe. In our previous paper [12], we formulated a quantum field theory in 1+1 dimensional curved spacetime to analyze the edge dynamics. It was shown that the expanding edges can be regarded as expanding universe simulators of two dimensional dilaton-gravity models, and pointed out that our theoretical setup can simulate the classical counterpart of an analog Hawking radiation with Gibbons-Hawking temperature from the future de Sitter horizon formed in the expanding edge region.…”

Section: Introductionmentioning

confidence: 99%

“…In this paper, applying the formulation developed in our previous paper [12], we investigate quantum aspects of the scalar field in an expanding edge model which reproduces an analog de Sitter universe. In particular, we focus on particle creation in the analog de Sitter universe (Hawking radiation), generation of quantum fluctuations by edge expansion, and their entanglement behavior.…”

Section: Introductionmentioning

confidence: 99%

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Analog de Sitter universe in quantum Hall systems with an expanding edge

Nambu¹,

Hotta²

2023

Preprint

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Expanding edges in quantum Hall systems can become a simulator of quantum 1+1 dimensional expanding universes. In these systems, edge exciations are represented as a chiral scalar field in curved spacetimes. We investigate Hawking radiation and entanglement behavior predicted by this model assuming that the expansion law of the edge region corresponds to a de Sitter universe. As observable quantities for the quantum field, local spatial modes associated with detection regions are introduced using window functions for the field, and their correlations are evaluated. We found impact of Hawking radiation caused by the edge expansion on auto-correlation functions of the local modes, and confirmed that entanglement death due to Hawking radiation occurs. This behavior of entanglement is related to "quantum to classical transition" in cosmic inflations.

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“…This diagram corresponds to π/4 < LH < π/2 case. For parameter values not included in this range, global structure of the spacetime becomes different (see [12]).…”

Section: B Amentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Analog de Sitter universe in quantum Hall systems with an expanding edge

Nambu¹,

Hotta²

2023

Preprint

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“…Experimental setups involving moving mirrors have, for instance, been discussed in [28]. The mini-cosmology experiment focusing on dynamical chiral edge states in a quantum Hall system [29] is also closely related to moving mirror models.…”

Section: Jhep08(2022)296 1 Introductionmentioning

confidence: 99%

Zoo of holographic moving mirrors

Akal

Kawamoto

Ruan

et al. 2022

J. High Energ. Phys.

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We systematically study moving mirror models in two-dimensional conformal field theory (CFT). By focusing on their late-time behavior, we separate the mirror profiles into four classes, named type A (timelike) mirrors, type B (escaping) mirrors, type C (chasing) mirrors, and type D (terminated) mirrors. We analytically explore the characteristic features of the energy flux and entanglement entropy for each type and work out their physical interpretation. Moreover, we construct their gravity duals for which end-of-the-world (EOW) branes play a crucial role. Depending on the mirror type, the profiles of the EOW branes show distinct behaviors. In addition, we also provide a criterion that decides whether the replica method in CFTs computes entanglement entropy or pseudo entropy in moving mirror models.

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Dynamics of the fractional quantum Hall edge probed by stroboscope measurements of trions

Kamiyama

Matsuura

Moore

et al. 2023

Applied Physics Letters

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By using observations from pump-probe stroboscopic confocal microscopy and spectroscopy, we demonstrate the dynamics of trions and the fractional quantum Hall edge on the order of ∼1 ps. The propagation of the quantum Hall edge state excited by a voltage pulse is detected as a temporal change in reflectance in the downstream edge probed by optical pulses synchronized with the voltage pulse. The temporal resolution of such stroboscopic pump-probe measurements is as fast as the duration time of the probe pulse (∼1 ps). This ultra-fast stroboscope measurement enables us to distinguish between the normal mode of edge excitation, known as the edge magneto-plasmon or charge density wave, and other high-energy non-linear excitations. This is the only experimental method available to study the ultra-fast dynamics of quantum Hall edges and makes it possible to derive the metric tensor gμν of the (1+1)=2-dimensional curved spacetime in quantum universe and black hole analogs implemented in the quantum Hall edge.

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Expanding edges of quantum Hall systems in a cosmology language: Hawking radiation from de Sitter horizon in edge modes

Cited by 11 publications

References 55 publications

Analog de Sitter universe in quantum Hall systems with an expanding edge

Analog de Sitter universe in quantum Hall systems with an expanding edge

Zoo of holographic moving mirrors

Dynamics of the fractional quantum Hall edge probed by stroboscope measurements of trions

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