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The Unruh effect states that a uniformly linearly accelerated observer with proper acceleration $a$ experiences the Minkowski vacuum as a thermal state at temperature $T_U=a/(2\pi)$. An observer in uniform circular motion experiences a…

General Relativity and Quantum Cosmology · Physics 2023-06-29 Cameron R. D. Bunney , Jorma Louko

The Unruh effect states an accelerated particle detector registers a thermal response when moving through the Minkowski vacuum, and its thermal feature is believed to be inseparable from Lorentz symmetry: Without the latter, the former…

Quantum Physics · Physics 2022-09-19 Zehua Tian , Longhao Wu , Liang Zhang , Jiliang Jing , Jiangfeng Du

Unruh effect states that the vacuum of a quantum field theory on Minkovski space-time looks like a thermal state for an eternal uniformly accelerated observer. Adaptation to the non eternal case causes a serious problem: if the…

General Relativity and Quantum Cosmology · Physics 2008-11-26 P. Martinetti

We consider a massless scalar field in Minkowski spacetime $\cal{M} $ in its vacuum state, and consider two Rindler wedges $R_1$ and $R_2$ in this space. $R_2$ is shifted to the right of $R_1$ by a distance $\Delta$. We therefore have…

High Energy Physics - Theory · Physics 2023-07-26 Sashideep Gutti , Akhil U Nair , Prasant Samantray

The thermal spectrum seen by accelerated observers in Minkowski space - known as the Unruh effect - is derived within the tunneling mechanism. This is a new result in this mechanism and it completes the treatment of Unruh effect via…

High Energy Physics - Theory · Physics 2009-11-13 Debraj Roy

We study the matching between the Hawking temperature of a large class of static D-dimensional black holes and the Unruh temperature of the corresponding higher dimensional Rindler spacetime. In order to accomplish this task we find the…

High Energy Physics - Theory · Physics 2009-11-10 Nuno Loureiro Santos , Oscar J. C. Dias , José P. S. Lemos

We consider a particle detector model on 1+1-dimensional Minkowski space-time that is accelerated by a constant external acceleration a. The detector is coupled to a massless scalar test field. Due to the Unruh effect, this detector becomes…

High Energy Physics - Theory · Physics 2013-05-14 Franz Thoma

We revisit the thermal nature of the Unruh effect within a quantum thermodynamic framework. For a Unruh-deWitt (UDW) detector in $n$-dimensional Minkowski spacetime, we demonstrate that its irreversible thermalization to a Gibbs equilibrium…

High Energy Physics - Theory · Physics 2026-05-05 Zihao Wang , Wenjing Chen , Si-Wei Han , Xiaoshan Feng , Linmu Qiao , Zhichun Ouyang , Jun Feng

While the Unruh effect has traditionally been studied under the assumption of uniform acceleration, a simplification motivated by experimental considerations, it is not necessarily true for all non-inertial motions. We propose a novel…

General Relativity and Quantum Cosmology · Physics 2026-01-01 Manuel de Atocha Rodríguez Fernández , Alexander I. Nesterov , Gennady P. Berman , C. Moreno-González

Gravitational perturbations of flat Minkowski space make the Rindler horizon dynamical: the horizon satisfies mechanical laws analogous to the ones followed by black holes. We describe the gravitational perturbation of Minkowski space using…

General Relativity and Quantum Cosmology · Physics 2014-02-19 Eugenio Bianchi , Alejandro Satz

The incorporation of classical general relativity into quantum field theory yields a surprising result -- thermodynamic particle production. One such phenomenon, known as the Unruh effect, causes empty space to effervesce a thermal bath of…

General Relativity and Quantum Cosmology · Physics 2022-05-16 Morgan H. Lynch

We present a theoretical study of how a spatially-varying quasiparticle velocity in honeycomb lattices, achievable using strained graphene or in engineered cold-atom optical lattices that have a spatial dependence to the local tunneling…

Mesoscale and Nanoscale Physics · Physics 2023-07-05 Anshuman Bhardwaj , Daniel E. Sheehy

In the 1970s, Fulling, Davies, and Unruh demonstrated that the vacuum state perceived by an inertial observer in Minkowski space appears as a thermal bath to a uniformly accelerated observer. We explore the transformation of the Wigner…

General Relativity and Quantum Cosmology · Physics 2025-03-04 Nitesh K. Dubey , Sanved Kolekar

The Minkowski vacuum $|0\rangle_M$, which for an inertial observer is devoid of particles, is treated as a thermal bath by Rindler observers living in a single Rindler wedge, as a result of the discrepancy in the definition of positive…

Quantum Physics · Physics 2022-05-26 L. Pipolo de Gioia , M. C. de Oliveira

This paper investigates the finite-temperature behavior of Conformal Field Theory (CFT) in Rindler vacuum, focusing on the relation between acceleration and thermality in quantum field theory. We illustrate how uniformly accelerated…

General Relativity and Quantum Cosmology · Physics 2024-10-02 Iftekher S. Chowdhury , Binay Prakash Akhouri , Shah Haque , Eric Howard

In Minkowski space, an accelerated reference frame may be defined as one that is related to an inertial frame by a sequence of instantaneous Lorentz transformations. Such an accelerated observer sees a causal horizon, and the quantum vacuum…

High Energy Physics - Theory · Physics 2014-11-21 Nirmalendu Acharyya , Sachindeo Vaidya

We review the quantization of scalar and gauge fields using Rindler coordinates with an emphasis on the physics of the Rindler horizon. In the thermal state at the Unruh temperature, correlators match their Minkowski vacuum values and the…

High Energy Physics - Theory · Physics 2016-12-12 Ben Michel

We give a complete and rigorous proof of the Unruh effect, in the following form. We show that the state of a two-level system, uniformly accelerated with proper acceleration $a$, and coupled to a scalar bose field initially in the…

Mathematical Physics · Physics 2008-11-26 S. De Bievre , M. Merkli

The Unruh effect predicts that an accelerated observer perceives the Minkowski vacuum as a thermal bath, but its direct observation requires extreme accelerations beyond current experimental reach. Foundational theory [Olson & Ralph, Phys.…

Quantum Physics · Physics 2025-10-29 Zhenghao Luo , Yi Li , Xingyu Zhao , Zihan Xie , Zehua Tian , Yiheng Lin

We examine the Hessian potential that derives the flat Minkowski spacetime in $(1+1)$-dimension. The entanglement thermodynamics by the Hessian geometry enables us to obtain the entanglement entropy of a corresponding quantum state by means…

High Energy Physics - Theory · Physics 2015-08-20 Hiroaki Matsueda