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Structure in quantum entanglement entropy is often leveraged to focus on a small corner of the exponentially large Hilbert space and efficiently parameterize the problem of finding ground states. A typical example is the use of matrix…

统计力学 · 物理学 2023-04-17 Bart Olsthoorn

We compute the quantum circuit complexity of the evolution of scalar curvature perturbations on expanding backgrounds, using the language of squeezed vacuum states. In particular, we construct a simple cosmological model consisting of an…

高能物理 - 理论 · 物理学 2020-05-22 Arpan Bhattacharyya , Saurya Das , S. Shajidul Haque , Bret Underwood

The trace of an arbitrary product of quantum operators with the density operator is rendered as a multiple phase space integral of the product of their Weyl symbols with the Wigner function. Interspersing the factors with various evolution…

量子物理 · 物理学 2016-04-20 Alfredo M. Ozorio de Almeida , Olivier Brodier

We investigate quantum entanglement of a scalar field in the inflationary universe. By introducing a bipartite system using a lattice model of scalar field, we apply the separability criterion based on the partial transpose operation and…

广义相对论与量子宇宙学 · 物理学 2008-11-26 Yasusada Nambu

A mesoscopic evolution equation for an ensemble of mesoparticles follows after the elimination of internal degrees of freedom. If the system is composed of a hierarchy of scales, the reduction procedure could be worked repeatedly and the…

量子物理 · 物理学 2008-11-26 J. C. Flores

The decoherence induced on a single qubit by its interaction with the environment is studied. The environment is modelled as a scalar two-level boson system that can go through either first order or continuous excited state quantum phase…

量子物理 · 物理学 2015-05-14 P. Perez-Fernandez , A. Relano , J. M. Arias , J. Dukelsky , J. E. Garcia-Ramos

Density contrasts in the universe are governed by scalar cosmological perturbations which, when expressed in terms of gauge-invariant variables, contain a classical component from scalar metric perturbations and a quantum component from…

广义相对论与量子宇宙学 · 物理学 2022-01-11 Jen-Tsung Hsiang , Bei-Lok Hu

To discuss the quantum to classical transition in quantum cosmology, we study the decoherence factor and the peak of the Wigner function, which respectively represent the degree of decoherence and the degree to which the classical motion of…

广义相对论与量子宇宙学 · 物理学 2011-07-19 Takashi Okamura

Particle physics has evolved in the past decade through evaluating the consequences of experimental measurements as well as exploiting theoretical tools that permit exploration of new model building and cosmological possibilities.…

高能物理 - 理论 · 物理学 2022-03-16 Prateek Agrawal , Cari Cesarotti , Andreas Karch , Rashmish K. Mishra , Lisa Randall , Raman Sundrum

Carpet-type structures constitute an ideal laboratory to study and analyze the robustness of the interference process that underlies this phenomenon against the harmful effects of decoherence. Here, without losing any generality, for…

量子物理 · 物理学 2021-06-14 E. Honrubia , A. S. Sanz

We show that the quantization ambiguities of loop quantum cosmology, when considered in wider generality, can be used to produce discretionary dynamical behavior. There is an infinite dimensional space of ambiguities which parallels the…

广义相对论与量子宇宙学 · 物理学 2023-05-03 Lautaro Amadei , Alejandro Perez , Salvatore Ribisi

If one is willing to give up the cherished hypothesis of spatial isotropy, many interesting cosmological models can be developed beyond the simple anisotropically expanding scenarios. One interesting possibility is presented by shear-free…

宇宙学与河外天体物理 · 物理学 2015-07-22 Thiago S. Pereira , Guillermo A. Mena Marugán , Saulo Carneiro

We examine how to construct a spatial manifold and its geometry from the entanglement structure of an abstract quantum state in Hilbert space. Given a decomposition of Hilbert space $\mathcal{H}$ into a tensor product of factors, we…

高能物理 - 理论 · 物理学 2017-02-01 ChunJun Cao , Sean M. Carroll , Spyridon Michalakis

Consider a bipartite entangled system half of which falls through the event horizon of an evaporating black hole, while the other half remains coherently accessible to experiments in the exterior region. Beyond complete evaporation, the…

广义相对论与量子宇宙学 · 物理学 2009-11-10 Ulvi Yurtsever , George Hockney

In contrast to scalar and tensor modes, vector modes of linear perturbations around an expanding Friedmann--Robertson--Walker universe decay. This makes them largely irrelevant for late time cosmology, assuming that all modes started out at…

广义相对论与量子宇宙学 · 物理学 2008-11-26 Martin Bojowald , Golam Mortuza Hossain

Non-commutative propositions are characteristic of both quantum and non-quantum (sociological, biological, psychological) situations. In a Hilbert space model states, understood as correlations between all the possible propositions, are…

量子物理 · 物理学 2009-11-07 D. Aerts , M. Czachor , L. Gabora , M. Kuna , A. Posiewnik , J. Pykacz , M. Syty

The physics of the inflationary universe requires the study of the out of equilibrium evolution of quantum fields in curved spacetime. We present the evolution for both the geometry and the matter (described by the quantum inflaton field)…

天体物理学 · 物理学 2007-05-23 D. Boyanovsky , D. Cormier , H. J. de Vega , R. Holman , S. P. Kumar

We consider cosmological evolution from the perspective of quantum information. We present a quantum circuit model for the expansion of a comoving region of space, in which initially-unentangled ancilla qubits become entangled as expansion…

高能物理 - 理论 · 物理学 2017-04-18 Ning Bao , ChunJun Cao , Sean M. Carroll , Liam McAllister

Decoherence is the process via which quantum superpositions states are reduced to classical mixtures. Decoherence has been predicted for relativistically accelerated quantum systems, however examples to date have involved restricting the…

量子物理 · 物理学 2019-01-16 Daiqin Su , Timothy C. Ralph

We show the entanglement entropy in certain quantum field theories to contain state-dependent divergences. Both perturbative and holographic examples are exhibited. However, quantities such as the relative entropy and the generalized…

高能物理 - 理论 · 物理学 2017-07-25 Donald Marolf , Aron C. Wall