Quantum simulation of particle creation in curved space-time

Abstract

Conversion of vacuum fluctuations into real particles was first predicted by L. Parker considering an expanding universe, followed in S. Hawking's work on black hole radiation. Since their experimental observation is challenging, analogue systems have gained attention in the verification of this concept. Here we propose an experimental setup consisting of two adjacent piezoelectric semiconducting layers, one of them carrying dynamic quantum dots (DQDs), and the other being p-doped with an attached gate on top, which introduces a space-dependent layer conductivity. The propagation of surface acoustic waves (SAWs) on the latter layer is governed by a wave equation with an effective metric. In the frame of the DQDs, this space-and time-dependent metric possesses a sonic horizon for SAWs and resembles that of a two dimensional non-rotating and uncharged black hole to some extent. The non-thermal steady state of the DQD spin indicates particle creation in form of piezophonons.

Breakdown signatures of the phenomenological Lindblad master equation in the strong optomechanical coupling regime

“…This is due to the fact that both eigensystems have the exact same form, with the difference appearing only in the definition of the parameters β and Γ given in Eq. (10).…”

“…We stress again the fact that this expression holds for both the PhME and the DSME and the main difference between the two approaches lies in the parameters β and Γ in Eq. (10). Considering that in most scenarios the condition γ ≪ ν is likely to be fulfilled, one can presume that only the slightly different definitions of β will not amount to a significant discrepancy in the absorption lineshape between the two models.…”

“…The form of the solutions is the same for both systems, but depends on the parameter β that has a particular form for each case, as given in Eq. (10). The right eigenvectors…”

Quantum Fisher information of a qubit-qutrit system in Garfinkle–Horowitz–Strominger dilation space–time

“…This combination can not only broaden the application of quantum information theory, but also deepen people's understanding of quantum effects in the theory of relativity such as Hawking radiation and Unruh effect. Recently, the quantum effects in the background of curved space-time have been studied extensively [13][14][15][16][17][18][19][20][21][22][23][24][25][26][27][28]. For example, Martin-Martinez et al [25] analyzed the operational meaning of the residual entanglement in noninertial fermionic systems in terms of the achievable violation of the Clauser-Horne-Shimony-Holt inequality and demonstrated the quantum correlations of fermions.…”

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