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Over the past six years, a detailed framework has been constructed to unravel the quantum nature of the Riemannian geometry of physical space. A review of these developments is presented at a level which should be accessible to graduate…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Abhay Ashtekar

Echo atom interferometers have emerged as interesting alternatives to Raman interferometers for the realization of precise measurements of the gravitational acceleration $g$ and the determination of the atomic fine structure through…

We have studied the zero-temperature statistics of charge transfer between the two edges of Quantum Hall liquids with filling factors $\nu_{0,1}=1/(2 m_{0,1}+1)$ forming Mach-Zehnder interferometer. The known Bethe ansatz solution for…

Strongly Correlated Electrons · Physics 2015-05-13 Vadim V. Ponomarenko , Dmitri V. Averin

Several years ago the so-called quantum geometrodynamics in extended phase space was proposed. The main role in this version of quantum geometrodynamics is given to a wave function that carries information about geometry of the Universe as…

General Relativity and Quantum Cosmology · Physics 2007-05-23 T. P. Shestakova

The purpose of this contribution is to give an introduction to quantum geometry and loop quantum gravity for a wide audience of both physicists and mathematicians. From a physical point of view the emphasis will be on conceptual issues…

Mathematical Physics · Physics 2011-04-11 J. Fernando Barbero G.

We introduce, and propagate wave-packet solutions of, a single qubit system in which geometric gauge forces and phases emerge. We investigate under what conditions non-trivial gauge phenomena arise, and demonstrate how symmetry breaking is…

Quantum Physics · Physics 2012-10-25 B. Zygelman

We present two projects aiming to probe key aspects of the theory of General Relativity with high-precision quantum sensors. These projects use cold-atom interferometry with the aim of measuring gravitational waves and testing the…

Quantum thermometry plays a critical role in the development of low-temperature sensors and quantum information platforms. In this work, we propose and theoretically analyze a hybrid circuit quantum electrodynamics architecture in which a…

Quantum Physics · Physics 2026-03-20 Shaojiang Zhu , Xinyuan You , Alexander Romanenko , Anna Grassellino

The aim of this article is to provide an introduction to the use of quantum information methods for investigating the interface between quantum theory and gravity. To this end, we discuss the basic principles of two current research streams…

Quantum Physics · Physics 2025-12-24 Bruna Sahdo , Natália Salomé Móller

We describe a quantum perturbative approach to evaluating the phase shift of an atom interferometer in a weakly anharmonic trap. This provides a simple way to evaluate quantum corrections to the standard semi-classical approximation. The…

Quantum Physics · Physics 2025-03-21 W. LaRow , M. Edwards , C. A. Sackett

Phase estimation algorithms are key protocols in quantum information processing. Besides applications in quantum computing, they can also be employed in metrology as they allow for fast extraction of information stored in the quantum state…

Quantum Physics · Physics 2018-07-03 S. Danilin , A. V. Lebedev , A. Vepsäläinen , G. B. Lesovik , G. Blatter , G. S. Paraoanu

We study the effects of geontropic vacuum fluctuations in quantum gravity on next-generation terrestrial gravitational wave detectors. If the VZ effect proposed in Ref. [1], as modeled in Refs. [2, 3], appears in the upcoming GQuEST…

General Relativity and Quantum Cosmology · Physics 2023-05-22 Mathew W. Bub , Yanbei Chen , Yufeng Du , Dongjun Li , Yiwen Zhang , Kathryn M. Zurek

We demonstrate an atomic interferometer based on ultra-cold atoms released from an optical lattice. This technique yields a large improvement in signal to noise over a related interferometer previously demonstrated. The interferometer…

Atomic Physics · Physics 2015-05-13 Mikkel F. Andersen , Tycho Sleator

We start by reviewing the concept of gauge invariance in quantum mechanics, for Abelian and Non-Ableian cases. Then we idescribe how the various gauge potential and field can be associated with the geometrical phase acquired by a quantum…

Quantum Gases · Physics 2014-07-07 Sankalpa Ghosh , Rashi Sachdeva

In this brief contribution I will highlight some directions where the developments in the frontier of (quantum) metrology may be key for fundamental high energy physics (HEP). I will focus on the detection of dark matter and gravitational…

High Energy Physics - Phenomenology · Physics 2023-11-20 D. Blas

We discuss and review in this chapter the developing field of research of quantum simulation of gauge theories with ultracold atoms.

Quantum Physics · Physics 2019-11-15 João C. Pinto Barros , Michele Burrello , Andrea Trombettoni

We present an elegant application of matterwave interferometry to the velocimetry of cold atoms whereby, in analogy to Fourier transform spectroscopy, the 1-D velocity distribution is manifest in the frequency domain of the interferometer…

Atomic Physics · Physics 2019-03-06 Max Carey , Jack Saywell , David Elcock , Mohammad Belal , Tim Freegarde

We consider dephasing in the electronic Mach-Zehnder interferometer strongly coupled to current noise created by a voltage biased quantum point contact (QPC). We find the visibility of Aharonov-Bohm oscillations as a function voltage bias…

Mesoscale and Nanoscale Physics · Physics 2009-07-16 Ivan P. Levkivskyi , Eugene V. Sukhorukov

We investigate the phase sensitivity of a Mach-Zehnder interferometer using a special class of generalized coherent states constructed from generalized Heisenberg and deformed $su(1,1)$ algebras. These states, derived from a perturbed…

Quantum Physics · Physics 2025-11-03 N. E. Abouelkhir , A. Slaoui , R. Ahl Laamara

The Wigner function, which provides a phase-space description of quantum systems, has various applications in quantum mechanics, quantum kinetic theory, quantum optics, radiation transport and others. The concept of Wigner function has been…

High Energy Physics - Theory · Physics 2013-04-05 Stanislaw Mrowczynski
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