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This theoretical study proposes a cost-effective method to simulate the Unruh temperature by leveraging the critical phenomena of evolving Bose-Einstein condensates. The model validates the Unruh effect formula through numerical analysis of phononic excitations and heat capacity, offering a resource-efficient alternative to traditional experimental setups. By connecting condensed matter critical points to fundamental quantum relativistic effects, this work advances the practical feasibility of probing analog gravity phenomena in laboratory settings.
Quantum Simulation of the Unruh Temperature via the Thermal Properties of Virtually Evolving Bose-Einstein Condensates
arXiv:2504.14685v4 Announce Type: replace Abstract: This paper presents a novel theoretical model motivate a new experimental scheme to simulate the Unruh temperature by relating it to the critical temperature of multiple Bose-Einstein thermal baths. These thermal baths are conceptualized as snapshots of a Bose-Firework originating from an evolving driven Bose-Einstein condensate (BEC). The critical temperature of each snapshot is determined from the heat capacity, which is numerically estimated by calculating the partition function derived from the system's Hamiltonian. By analyzing the relationship between the average number of the phononic excitations at the critical temperature, acceleration, and the critical temperature itself, our model demonstrates a significant agreement with the Unruh temperature formula, thereby validating our hypothesis. This theoretical approach offers a cost-effective alternative experimental setup compared to other resources-intensive experimental simulations. Furthermore, it provides a unique perspective on quantum simulation by utilizing the critical phenomena of condensed matter systems to probe fundamental quantum relativistic effects.
Abstract:This paper presents a novel theoretical model motivate a new experimental scheme to simulate the Unruh temperature by relating it to the critical temperature of multiple Bose-Einstein thermal baths. These thermal baths are conceptualized as snapshots of a Bose-Firework originating from an evolving driven Bose-Einstein condensate (BEC). The critical temperature of each snapshot is determined from the heat capacity, which is numerically estimated by calculating the partition function derived from the system's Hamiltonian. By analyzing the relationship between the average number of the phononic excitations at the critical temperature, acceleration, and the critical temperature itself, our model demonstrates a significant agreement with the Unruh temperature formula, thereby validating our hypothesis. This theoretical approach offers a cost-effective alternative experimental setup compared to other resources-intensive experimental simulations. Furthermore, it provides a unique perspective on quantum simulation by utilizing the critical phenomena of condensed matter systems to probe fundamental quantum relativistic effects.
Quantum Physics (quant-ph); Quantum Gases (cond-mat.quant-gas)
arXiv:2504.14685 [quant-ph]
(or arXiv:2504.14685v4 [quant-ph] for this version)
International Journal of Modern Physics B Vol. 40, No. 02, 2650006 (2026)
https://doi.org/10.1142/S0217979226500062 DOI(s) linking to related resources
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