Berry phase of primordial scalar and tensor perturbations in single-field inflationary models

被引：2

作者：

Balajany, Hamideh ^{[1
]}

Mehrafarin, Mohammad ^{[1
]}

机构：

[1] Amirkabir Univ Technol, Phys Dept, Tehran 15914, Iran

来源：

PHYSICS LETTERS A | 2018年 / 382卷 / 23期

关键词：

Single-field inflation; Primordial perturbation; Berry phase; invariant operator; DEPENDENT HARMONIC-OSCILLATOR; COSMOLOGICAL PERTURBATIONS; GEOMETRIC PHASES; INVARIANTS; TRANSPORT; EVOLUTION; UNIVERSE; ENERGY;

D O I：

10.1016/j.physleta.2018.04.026

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

In the framework of the single-field slow-roll inflation, we derive the Hamiltonian of the linear primordial scalar and tensor perturbations in the form of time-dependent harmonic oscillator Hamiltonians. We find the invariant operators of the resulting Hamiltonians and use their eigenstates to calculate the adiabatic Berry phase for sub-horizon modes in terms of the Lewis-Riesenfeld phase. We conclude by discussing the discrepancy in the results of Pal et al. (2013) [21] for these Berry phases, which is resolved to yield agreement with our results. (C) 2018 Elsevier B.V. All rights reserved.

引用

页码：1524 / 1527

页数：4

共 32 条

[11] Inflationary spectra and violations of Bell inequalities [J].

Campo, David ;

Parentani, Renaud .

PHYSICAL REVIEW D, 2006, 74 (02)

[12] Scalar fields and exact invariants in a Friedmann-Robertson-Walker spacetime [J].

Carvalho, AMD ;

Furtado, C ;

Pedrosa, IA .

PHYSICAL REVIEW D, 2004, 70 (12) :123523-1

[13] GRAVITY AND GEOMETRIC PHASES [J].

CORICHI, A ;

PIERRI, M .

PHYSICAL REVIEW D, 1995, 51 (10) :5870-5875

[14] GEOMETRIC PHASE IN VACUUM INSTABILITY - APPLICATIONS IN QUANTUM COSMOLOGY [J].

DATTA, DP .

PHYSICAL REVIEW D, 1993, 48 (12) :5746-5750

[15] BERRY PHASE AS THE ASYMPTOTIC LIMIT OF AN EXACT EVOLUTION - AN EXAMPLE [J].

ENGINEER, MH ;

GHOSH, G .

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1988, 21 (02) :L95-L98

[16] INFLATIONARY UNIVERSE - A POSSIBLE SOLUTION TO THE HORIZON AND FLATNESS PROBLEMS [J].

GUTH, AH .

PHYSICAL REVIEW D, 1981, 23 (02) :347-356

[17] Geometric quantum phase for displaced states for a particle with an induced electric dipole moment [J].

Lemos de Melo, J. ;

Bakke, K. ;

Furtado, C. .

EPL, 2016, 115 (02)

[18] Berry's phase for displaced Landau-He-McKellar-Wilkens states [J].

Lemos de Melo, J. ;

Bakke, K. ;

Furtado, C. .

EUROPEAN PHYSICAL JOURNAL PLUS, 2016, 131 (05)

[19] CLASS OF EXACT INVARIANTS FOR CLASSICAL AND QUANTUM TIME-DEPENDENT HARMONIC OSCILLATORS [J].

LEWIS, HR .

JOURNAL OF MATHEMATICAL PHYSICS, 1968, 9 (11) :1976-&

[20] AN EXACT QUANTUM THEORY OF TIME-DEPENDENT HARMONIC OSCILLATOR AND OF A CHARGED PARTICLE IN A TIME-DEPENDENT ELECTROMAGNETIC FIELD [J].

LEWIS, HR ;

RIESENFELD, WB .

JOURNAL OF MATHEMATICAL PHYSICS, 1969, 10 (08) :1458-+

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