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Inspired by quantum gravity frameworks predicting Planck-scale deviations from Lorentz invariance, we probe Lorentz symmetry violation via modified dispersion relations $\omega_{|\textbf{k}|}$. Departing from conventional approaches, we…

General Relativity and Quantum Cosmology · Physics 2025-07-24 Hao Xu

We study simple random walk on the uniform spanning tree on Z^2 . We obtain estimates for the transition probabilities of the random walk, the distance of the walk from its starting point after n steps, and exit times of both Euclidean…

Probability · Mathematics 2009-12-25 Martin T. Barlow , Robert Masson

Quantum uncertainty is deeply linked to quantum correlations and relativistic motion. The entropic uncertainty relation with quantum memory offers a powerful way to study how shared entanglement affects measurement precision. However, under…

Quantum Physics · Physics 2025-12-12 Ming-Ming Du , Hong-Wei Li , Shu-Ting Shen , Xiao-Jing Yan , Xi-Yun Li , Lan Zhou , Wei Zhong , Yu-Bo Sheng

We put forward a physical model of a uniformly accelerated Unruh-DeWitt battery and use quantum work extraction as a probe to witness the thermal nature of the Unruh effect in a high dimensional Minkowski spacetime. By means of the open…

High Energy Physics - Theory · Physics 2025-03-05 Yan Chen , Wei-Wei Zhang , Tian-Xi Ren , Xiang Hao

Previous studies have shown that the Unruh effect completely destroys quantum entanglement and coherence of bipartite states, as modeled by entangled Unruh-DeWitt detectors. But does the Unruh effect have a different impact on quantum…

General Relativity and Quantum Cosmology · Physics 2025-05-29 Si-Han Li , Si-Han Shang , Shu-Min Wu

In this work we make the connection between the Unruh-DeWitt particle detector model applied to quantum field theory in curved spacetimes and the rigorous construction of the spin-boson model. With some modifications, we show that existing…

Quantum Physics · Physics 2024-07-25 Erickson Tjoa , Finnian Gray

In this note, we consider the response of a uniformly accelerated monopole detector that is coupled non-linearly to the nth power of a quantum scalar field in (D+1)-dimensional flat spacetime. We show that, when (D+1) is even, the response…

General Relativity and Quantum Cosmology · Physics 2007-05-23 L. Sriramkumar

The physical phenomena seen by an observer are defined for a local inertial system that is subjective to the observer. Such a coordinate system is called a ``moving frame'' because it changes from time to time. However, unlike the Thomas…

High Energy Physics - Theory · Physics 2025-05-14 Tomohiro Matsuda

We consider the response of a uniformly accelerated monopole detector that is coupled non-linearly to the nth power of a quantum scalar field in (D+1)-dimensional flat spacetime. We show that, when (D+1) is even, the response of the…

General Relativity and Quantum Cosmology · Physics 2009-11-07 L. Sriramkumar

We argue that the energy levels of an Unruh detector experience an effect similar to the Lamb shift in Quantum Electrodynamics. As a consequence, the spectrum of energy levels in a curved background is different from that in flat space. As…

General Relativity and Quantum Cosmology · Physics 2009-11-11 Bjorn Garbrecht , Tomislav Prokopec

We point out that, when the Unruh-DeWitt detector couples to a scalar primary operator of $d$-dimensional conformal field theory, the detector's power spectrum generally obeys the thermal distribution for $(1+1)$-dimensional anyons.

High Energy Physics - Theory · Physics 2017-11-08 Satoshi Ohya

Relativistic effects on the precision of quantum metrology for particle detectors, such as two-level atoms are studied. The quantum Fisher information is used to estimate the phase sensitivity of atoms in non-inertial motions or in…

Quantum Physics · Physics 2016-06-22 Xiang Hao , Yinzhong Wu

We investigate the sensitivity of an Unruh-DeWitt detector to the global features of a deficit angle that are otherwise classically inaccessible. Specifically, we consider a detector placed inside an infinite thin hollow cylinder whose…

General Relativity and Quantum Cosmology · Physics 2021-07-06 Wan Cong , Jiri Bicak , David Kubiznak , Robert Mann

We consider random walks in Dirichlet environment (RWDE) on $\Z ^d$, for $ d \geq 3 $, in the sub-ballistic case. We associate to any parameter $ (\alpha_1, ..., \alpha_{2d}) $ of the Dirichlet law a time-change to accelerate the walk. We…

Probability · Mathematics 2012-05-28 Élodie Bouchet

We consider the quantum first detection problem for a particle evolving on a graph under repeated projective measurements with fixed rate $1/\tau$. A general formula for the mean first detected transition time is obtained for a quantum walk…

Statistical Mechanics · Physics 2020-07-29 Q. Liu , R. Yin , K. Ziegler , E. Barkai

Quantum radiated power emitted by an Unruh-DeWitt (UD) detector in linear oscillatory motion in (3+1)D Minkowski space, with the internal harmonic oscillator minimally coupled to a massless scalar field, is obtained non-perturbatively by…

General Relativity and Quantum Cosmology · Physics 2017-12-06 Shih-Yuin Lin

Within any anticipated unifying theory of quantum gravity, it should be meaningful to combine the fundamental notions of quantum superposition and spacetime to obtain so-called "spacetime superpositions": that is, quantum superpositions of…

General Relativity and Quantum Cosmology · Physics 2023-03-08 Joshua Foo , Cemile Senem Arabaci , Magdalena Zych , Robert B. Mann

We define a dynamical simple symmetric random walk in one dimension, and show that there almost surely exist exceptional times at which the walk tends to infinity. This is in contrast to the usual dynamical simple symmetric random walk in…

Probability · Mathematics 2019-11-19 Martin Prigent , Matthew I. Roberts

We study Unruh phenomena for a qudit detector coupled to a quantized scalar field, comparing its response to that of a standard qubit-based Unruh-DeWitt detector. We show that there are limitations to the utility of the detailed balance…

Quantum Physics · Physics 2024-02-14 Caroline Lima , Everett Patterson , Erickson Tjoa , Robert B. Mann

The Unruh effect states that a uniformly linearly accelerated observer with proper acceleration $a$ experiences Minkowski vacuum as a thermal state in the temperature $T_{\text{lin}} = a/(2\pi)$, operationally measurable via the detailed…

General Relativity and Quantum Cosmology · Physics 2023-03-28 Steffen Biermann , Sebastian Erne , Cisco Gooding , Jorma Louko , Jörg Schmiedmayer , William G. Unruh , Silke Weinfurtner