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A universal quantum simulator would enable efficient simulation of quantum dynamics by implementing quantum-simulation algorithms on a quantum computer. Specifically the quantum simulator would efficiently generate qubit-string states that…

Quantum Physics · Physics 2013-07-08 Barry C. Sanders

The heat-kernel expansion and $\zeta$-regularization techniques for quantum field theory and extended objects on curved space-times are reviewed. In particular, ultrastatic space-times with spatial section consisting in manifold with…

High Energy Physics - Theory · Physics 2011-08-17 A. A. Bytsenko , G. Cognola , L. Vanzo , S. Zerbini

Under suitable forcing a fluid exhibits turbulence, with characteristics strongly affected by the fluid's confining geometry. Here we study two-dimensional quantum turbulence in a highly oblate Bose-Einstein condensate in an annular trap.…

Analogue gravity is based on the simple observation that perturbations propagating in several physical systems can be described by a quantum field theory in a curved spacetime. While phenomena like Hawking radiation are hardly detectable in…

General Relativity and Quantum Cosmology · Physics 2015-03-13 Stefano Finazzi

We propose a scalable analog quantum simulator for quantum electrodynamics (QED) in two spatial dimensions. The setup for the U(1) lattice gauge field theory employs inter-species spin-changing collisions in an ultra-cold atomic mixture…

Quantum Gases · Physics 2021-09-29 Robert Ott , Torsten V. Zache , Fred Jendrzejewski , Jürgen Berges

Quantum cosmology is crucial to understand the evolution of the early universe. Despite significant progress, challenges still remain. For example, the role of time in quantum cosmology is unclear. Furthermore, the influence of the…

General Relativity and Quantum Cosmology · Physics 2023-01-18 Hong Wang , Jin Wang

In this work, I review some aspects concerning the evolution of quantum low-energy fields in a foamlike spacetime, with involved topology at the Planck scale but with a smooth metric structure at large length scales, as follows. Quantum…

General Relativity and Quantum Cosmology · Physics 2014-11-17 Luis J. Garay

The purpose of this paper is to present a model of a quantum space-time in which the global symmetries of space-time are unified in a coherent manner with the internal symmetries associated with the state space of quantum-mechanics. If we…

High Energy Physics - Theory · Physics 2007-05-23 Dorje C. Brody , Lane. P. Hughston

Using tangent bundle geometry we construct an equivalent reformulation of classical field theory on flat spacetimes which simultaneously encodes the perspectives of multiple observers. Its generalization to curved spacetimes realizes a new…

High Energy Physics - Theory · Physics 2018-06-13 Mattias N. R. Wohlfarth

We consider the evolution of quantum fields on a classical background space-time, formulated in the language of differential geometry. Time evolution along the worldlines of observers is described by parallel transport operators in an…

High Energy Physics - Theory · Physics 2007-05-23 Dirk Graudenz

Conventional vector-based simulators for quantum computers are quite limited in the size of the quantum circuits they can handle, due to the worst-case exponential growth of even sparse representations of the full quantum state vector as a…

Quantum Physics · Physics 2009-10-09 Michael P. Frank , Liviu Oniciuc , Uwe Meyer-Baese , Irinel Chiorescu

We consider the interaction between a Bose-Einstein condensate and a single-mode quantized light field in the presence of a strong far off-resonant pump laser. The dynamics is characterized by an exponential instability, hence the system…

Condensed Matter · Physics 2009-10-31 M. G. Moore , O. Zobay , P. Meystre

Scalar field dark matter offers an interesting alternative to the traditional WIMP dark matter picture. Astrophysical and cosmological simulations are useful to constraining the mass of the dark matter particle in this model. This is…

Cosmology and Nongalactic Astrophysics · Physics 2022-10-13 Andrew Eberhardt , Alvaro Zamora , Michael Kopp , Tom Abel

An application of the quantum N-portrait to the Universe is discussed, wherein the space-time geometry is understood as a Bose-Einstein condensate of N soft gravitons. If near or at the critical point of a quantum phase transition,…

General Relativity and Quantum Cosmology · Physics 2015-10-22 Florian Kuhnel

We study the effective time evolution of a large quantum system consisting of a mixture of different species of identical bosons in interaction. If the system is initially prepared so as to exhibit condensation in each component, we prove…

Mathematical Physics · Physics 2016-09-13 Alessandro Michelangeli , Alessandro Olgiati

It is now widely believed that if the gravitational field is (perturbatively) quantum, it would entangle two massive objects (in spatial superpositions) which were otherwise unentangled to begin with. Recently, actual table-top experiments…

General Relativity and Quantum Cosmology · Physics 2023-10-27 Suddhasattwa Brahma , Abhinove Nagarajan Seenivasan

We demonstrate that the ambiguity of the particle content for quantum fields in a generally curved space-time can be experimentally investigated in an ultracold gas of atoms forming a Bose-Einstein condensate. We explicitly evaluate the…

Other Condensed Matter · Physics 2007-05-23 Petr O. Fedichev , Uwe R. Fischer

For quantum fluids, the role of quantum fluctuations may be significant in several regimes such as when the dimensionality is low, the density is high, the interactions are strong, or for low particle numbers. In this paper we propose a…

Quantum Gases · Physics 2018-02-02 R. N. Bisset , P. G. Kevrekidis , C. Ticknor

The framework of quantum invariants is an elegant generalization of adiabatic quantum control to control fields that do not need to change slowly. Due to the unavailability of invariants for systems with more than one spatial dimension, the…

Quantum Physics · Physics 2021-03-17 Selwyn Simsek , Florian Mintert

Quantum simulation is making a significant impact on scientific research. The prevailing tendency of the field is to build quantum simulators that get closer to real-world systems of interest, in particular electronic materials. However,…

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