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We study how an arbitrary Gaussian state of two localized wave packets, prepared in an inertial frame of reference, is described by a pair of uniformly accelerated observers. We explicitly compute the resulting state for arbitrarily chosen…

In this thesis we focus on the influence of uniform acceleration on quantum states and their properties, as well as on quantum entanglement contained in the vacuum. First, we analyze a quantum clock measuring time in terms of the decay of…

Quantum Physics · Physics 2019-08-19 Krzysztof Lorek

We use the formalism of noisy Gaussian channels to derive explicit transformation laws describing how an arbitrary multimode Gaussian state of a scalar quantum field is perceived by a number of accelerating observers, each having access to…

Quantum Physics · Physics 2018-07-11 Kacper Dębski , Andrzej Dragan

After a review of the existing theory of non-inertial frames and mathematical observers in Minkowski space-time we give the explicit expression of a family of such frames obtained from the inertial ones by means of point-dependent Lorentz…

General Relativity and Quantum Cosmology · Physics 2015-05-20 Horace W. Crater , Luca Lusanna

We develop a general technique to analyse the quantum effects of acceleration on realistic spatially-localised electromagnetic field states entangled in the polarization degree of freedom. We show that for this setting, quantum entanglement…

Quantum Physics · Physics 2012-08-21 Miguel Montero , Marco del Rey , Eduardo Martin-Martinez

The standard relativistic theory of accelerated reference frames in Minkowski spacetime is described. The measurements of accelerated observers are considered and the limitations of the standard theory, based on the hypothesis of locality,…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Bahram Mashhoon

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

An algebraic characterization of vacuum states in Minkowski space is given which relies on recently proposed conditions of geometric modular action and modular stability for algebras of observables associated with wedge-shaped regions. In…

Mathematical Physics · Physics 2007-05-23 Detlev Buchholz , Martin Florig , Stephen J. Summers

Entanglement of Dirac fields has been studied and it is known to decrease with increasing acceleration when a quantum state is shared between users in non-inertial frames. A new form of an entangled vacuum state observed by the accelerated…

Quantum Physics · Physics 2022-06-30 Leyli Esmaelifar , Behrouz Mirza , Zahra Ebadi

An explicit Wigner formulation of Minkowski particle states for non-inertial observers is unknown. Here, we derive a general prescription to compute the characteristic function for Minkowski-Fock states in accelerated frames. For the…

High Energy Physics - Theory · Physics 2023-06-06 Riccardo Falcone , Claudio Conti

An observer at rest with the expanding universe experiences some extra noise in the quantum vacuum, and so does an accelerated observer in a vacuum at rest (in Minkowski space). The literature mainly focuses on the ideal cases of…

General Relativity and Quantum Cosmology · Physics 2025-01-07 Ziv Landau , Ulf Leonhardt

We demonstrate entanglement generation between mode pairs of a quantum field in a nonuniformly accelerated cavity in Minkowski space-time. The effect is sensitive to the initial state, the choice of the mode pair and bosonic versus…

Quantum Physics · Physics 2012-04-20 Nicolai Friis , David Edward Bruschi , Jorma Louko , Ivette Fuentes

We review a recently introduced unified approach to the analytical quantification of correlations in Gaussian states of bosonic scalar fields by means of Renyi-2 entropy. This allows us to obtain handy formulae for classical, quantum, total…

Quantum Physics · Physics 2012-10-19 Gerardo Adesso , Sammy Ragy , Davide Girolami

Detecting the structure of spacetime with quantum technologies has always been one of the frontier topics of relativistic quantum information. Here, we analytically study the generation and redistribution of Gaussian entanglement of the…

Quantum Physics · Physics 2023-04-05 Wen-Mei Li , Rui-Di Wang , Hao-Yu Wu , Xiao-Li Huang , Hao-Sheng Zen , Shu-Min Wu

The acceleration transformations form a 4-parameter Abelian subgroup of the conformal group of Minkowski spacetime. The passive interpretation of acceleration transformations leads to a congruence of uniformly accelerated observers in…

General Relativity and Quantum Cosmology · Physics 2019-08-05 Bahram Mashhoon

The nonlocal theory of accelerated systems is extended to linear gravitational waves as measured by accelerated observers in Minkowski spacetime. The implications of this approach are discussed. In particular, the nonlocal modifications of…

High Energy Physics - Theory · Physics 2009-11-11 Bahram Mashhoon

We give a closed expression for the Minkowski (1+1)-dimensional metric in the radar coordinates of an arbitrary non-inertial observer O in terms of O's proper acceleration. Knowledge of the metric allows the non-inertial observer to perform…

Classical Physics · Physics 2007-05-23 E. Minguzzi

The vacuum state of a relativistic quantum field contains entanglement between regions separated by spacelike intervals. Such spatial entanglement can be revealed using an operational method introduced in Ann. Phys. 351, 112 (2014), Phys.…

Quantum Physics · Physics 2017-02-07 Filip Kiałka , Mehdi Ahmadi , Andrzej Dragan

We consider a continuous-variable quantum teleportation protocol between a uniformly accelerated sender in the right Rindler wedge, a conformal receiver restricted to the future light cone, and an inertial observer in the Minkowski vacuum.…

Quantum Physics · Physics 2023-01-11 Joshua Foo , Timothy C. Ralph

We study the effects of acceleration on fermionic Gaussian states of localized modes of a Dirac field. We consider two wave-packets in a Gaussian state and transform these to an accelerated frame of reference. In particular, we formulate…

Quantum Physics · Physics 2017-05-12 Benedikt Richter , Krzysztof Lorek , Andrzej Dragan , Yasser Omar
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