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In three spacetime dimensions, general relativity drastically simplifies, becoming a ``topological'' theory with no propagating local degrees of freedom. Nevertheless, many of the difficult conceptual problems of quantizing gravity are…

General Relativity and Quantum Cosmology · Physics 2015-06-25 S. Carlip

Algebraic quantization scheme has been proposed as an extension of the Dirac quantization scheme for constrained systems. Semi-classical states for constrained systems is also an independent and important issue, particularly in the context…

Quantum Physics · Physics 2007-05-23 G. Date , Parampreet Singh

Quantization with coherent states allows to " quantize " any space X of parameters. In the case where X is a phase space, this leads to the usual quantum mechanics. But the procedure is much more general, and does not require a symplectic,…

Mathematical Physics · Physics 2007-05-23 Marc Lachieze Rey , Jean-Pierre Gazeau , Eric Huguet , Jacques Renaud , Tarik Garidi

We prove numerically and by dualities the existence of modulated, commensurate and incommensurate states of topological quantum matter in simple systems of parafermions, motivated by recent proposals for the realization of such systems in…

Strongly Correlated Electrons · Physics 2014-12-19 Ashley Milsted , Emilio Cobanera , Michele Burrello , Gerardo Ortiz

Using the trajectory conception of state we give a simple demonstration that the quantum state of a many-body system may be expressed as a set of states in three-dimensional space, one associated with each particle. It follows that the…

Quantum Physics · Physics 2018-09-05 Peter Holland

We consider the third quantization in quantum cosmology of a minisuperspace extended by the Eisenhart-Duval lift. We study the third quantization based on both Klein-Gordon type and Dirac-type equations in the extended minisuperspace.…

General Relativity and Quantum Cosmology · Physics 2022-08-23 Nahomi Kan , Takuma Aoyama , Taiga Hasegawa , Kiyoshi Shiraishi

A simple mathematical extension of quantum theory is presented. As well as opening the possibility of alternative methods of calculation, the additional formalism implies a new physical interpretation of the standard theory by providing a…

Quantum Physics · Physics 2020-03-17 Roderick Sutherland

In the present article we point out a conceptual issue of the Third Quantization formalism for Canonical Quantum Gravity. Based on earlier results on interuniversal entanglement, the picture of noninteracting universe-antiuniverse pairs is…

General Relativity and Quantum Cosmology · Physics 2022-10-12 Samuel Barroso Bellido , Fabian Wagner

We present a review and discussions on characterizations and quantifications of macroscopic quantum states as well as their implementations and applications in optical systems. We compare and criticize different measures proposed to define…

Quantum Physics · Physics 2015-03-24 Hyunseok Jeong , Minsu Kang , Hyukjoon Kwon

Large-N field systems are considered from an unusual point of view. The Hamiltonian is presented in a third-quantized form analogously to the second-quantized formulation of the quantum theory of many particles. The semiclassical…

High Energy Physics - Theory · Physics 2007-05-23 V. P. Maslov , O. Yu. Shvedov

We discuss experimental situations that consist of multiple preparation and measurement stages. This leads us to a new approach to quantum mechanics. In particular, we introduce the idea of multi-time quantum states which are the…

Quantum Physics · Physics 2013-05-29 Y. Aharonov , S. Popescu , J. Tollaksen , L. Vaidman

We describe recent work on the relativistic three-particle quantization condition, generalizing and applying the original formalism of Hansen and Sharpe, and of Brice\~no, Hansen and Sharpe. In particular, we sketch three recent…

High Energy Physics - Lattice · Physics 2018-10-17 Tyler D. Blanton , Raúl A. Briceño , Maxwell T. Hansen , Fernando Romero-López , Stephen R. Sharpe

The quantization of classical theories that admit more than one Hamiltonian description is considered. This is done from a geometrical viewpoint, both at the quantization level (geometric quantization) and at the level of the dynamics of…

General Relativity and Quantum Cosmology · Physics 2012-08-27 Alejandro Corichi , Michael P. Ryan,

Using our recently developed relativistic three-particle quantization condition, we study the finite-volume energy shift of a spin-zero three-particle bound state. We reproduce the result obtained using non-relativistic quantum mechanics by…

High Energy Physics - Lattice · Physics 2017-02-08 Maxwell T. Hansen , Stephen R. Sharpe

The optimal quantum measurements for estimating different unknown parameters in a parameterized quantum state are usually incompatible with each other. Traditional approaches to addressing the measurement incompatibility issue, such as the…

Quantum Physics · Physics 2026-02-03 Sisi Zhou , Senrui Chen

We consider the Multiverse as an ensemble of universes. Using standard statistical physics analysis we get that the Cosmological Constant (CC) is exponentially small. The small and finite CC is achieved without any anthropic reasoning. We…

High Energy Physics - Theory · Physics 2022-09-28 Ido Ben-Dayan , Merav Hadad , Amir Michaelis

Quantum information theory and the multiverse are two of the greatest outcomes of the XX century physics. The consideration of entanglement between the quantum states of two or more universes in a multiverse scenario provides us with a…

General Relativity and Quantum Cosmology · Physics 2012-11-28 Salvador J. Robles-Pérez

With the slow but constant progress in the coherent control of quantum systems, it is now possible to create large quantum superpositions. There has therefore been an increased interest in quantifying any claims of macroscopicity. We…

Quantum Physics · Physics 2014-08-18 Amine Laghaout , Jonas S. Neergaard-Nielsen , Ulrik L. Andersen

This article presents a squeezing transformation for quantum systems associated to finite vector spaces. The physical idea of squeezing here is taken from the action of the usual squeezing operator over wave functions defined on a real…

Quantum Physics · Physics 2008-02-29 M. Ruzzi

New measures for the quantization of systems with constraints are discussed and applied to several examples, in particular, examples of alternative but equivalent formulations of given first-class constraints, as well as a comparison of…

Quantum Physics · Physics 2007-05-23 John R. Klauder