scholarly journals Short-time quantum detection: Probing quantum fluctuations

2012 ◽  
Vol 85 (4) ◽  
Author(s):  
Marco del Rey ◽  
Carlos Sabín ◽  
Juan León
Keyword(s):  
Quantum Fluctuations ◽  
Time Quantum ◽  
Quantum Detection ◽  
Short Time

A NOTE ON THE ANALOGY BETWEEN KOLMOGOROV TURBULENCE AND QUANTUM GRAVITY

2010 ◽  
Vol 21 (11) ◽  
pp. 1329-1340 ◽  
Author(s):  
SAURO SUCCI
Keyword(s):  
Quantum Gravity ◽  
Quantum Fluctuations ◽  
Space Time ◽  
Scaling Properties ◽  
Fluid Turbulence ◽  
New Class ◽  
Kolmogorov Turbulence ◽  
Time Quantum ◽  
Dynamic Growth ◽  
The Universe

Based on a formal analogy between space-time quantum fluctuations and classical Kolmogorov fluid turbulence, we suggest that the dynamic growth of the Universe from Planckian to macroscopic scales should be characterized by the presence of a fluctuating volume-flux (FVF) invariant. The existence of such an invariant could be tested in numerical simulations of quantum gravity, and may also stimulate the development of a new class of hierarchical models of quantum foam, similar to those currently employed in modern phenomenological research on fluid turbulence. The use of such models shows that the simple analogy with Kolmogorov turbulence is not compatible with a fine-scale fractal structure of quantum space-time. Hence, should such theories prove correct, they would imply that the scaling properties of quantum fluctuations of space-time are subtler than those described by the simple Kolmogorov analogy.

scholarly journals Short-time behavior of continuous-time quantum walks on graphs

2019 ◽  
Vol 100 (6) ◽  
Author(s):  
Balázs Endre Szigeti ◽  
Gábor Homa ◽  
Zoltán Zimborás ◽  
Norbert Barankai
Keyword(s):  
Continuous Time ◽  
Quantum Walks ◽  
Time Behavior ◽  
Time Quantum ◽  
Short Time

Short-time quantum dynamics of sharp boundaries potentials

2015 ◽  
Vol 459 ◽  
pp. 62-68
Author(s):  
Er'el Granot ◽  
Avi Marchewka
Keyword(s):  
Quantum Dynamics ◽  
Time Quantum ◽  
Short Time

Short time quantum phase space dynamics at a 1:2 Fermi resonance

1995 ◽  
Vol 190 (2-3) ◽  
pp. 373-380 ◽  
Author(s):  
M.S. Child ◽  
G. Bruun ◽  
R. Paul
Keyword(s):  
Phase Space ◽  
Quantum Phase ◽  
Fermi Resonance ◽  
Time Quantum ◽  
Space Dynamics ◽  
Short Time

scholarly journals Symplectic Quantization II: Dynamics of Space–Time Quantum Fluctuations and the Cosmological Constant

2021 ◽  
Vol 51 (3) ◽  
Author(s):  
Giacomo Gradenigo
Keyword(s):  
Cosmological Constant ◽  
Path Integral ◽  
Quantum Fluctuations ◽  
Space Time ◽  
Integral Approach ◽  
Path Integral Approach ◽  
Intrinsic Time ◽  
Time Quantum ◽  
Hilbert Action

AbstractThe symplectic quantization scheme proposed for matter scalar fields in the companion paper (Gradenigo and Livi, arXiv:2101.02125, 2021) is generalized here to the case of space–time quantum fluctuations. That is, we present a new formalism to frame the quantum gravity problem. Inspired by the stochastic quantization approach to gravity, symplectic quantization considers an explicit dependence of the metric tensor $$g_{\mu \nu }$$ g μ ν on an additional time variable, named intrinsic time at variance with the coordinate time of relativity, from which it is different. The physical meaning of intrinsic time, which is truly a parameter and not a coordinate, is to label the sequence of $$g_{\mu \nu }$$ g μ ν quantum fluctuations at a given point of the four-dimensional space–time continuum. For this reason symplectic quantization necessarily incorporates a new degree of freedom, the derivative $${\dot{g}}_{\mu \nu }$$ g ˙ μ ν of the metric field with respect to intrinsic time, corresponding to the conjugated momentum $$\pi _{\mu \nu }$$ π μ ν . Our proposal is to describe the quantum fluctuations of gravity by means of a symplectic dynamics generated by a generalized action functional $${\mathcal {A}}[g_{\mu \nu },\pi _{\mu \nu }] = {\mathcal {K}}[g_{\mu \nu },\pi _{\mu \nu }] - S[g_{\mu \nu }]$$ A [ g μ ν , π μ ν ] = K [ g μ ν , π μ ν ] - S [ g μ ν ] , playing formally the role of a Hamilton function, where $$S[g_{\mu \nu }]$$ S [ g μ ν ] is the standard Einstein–Hilbert action while $${\mathcal {K}}[g_{\mu \nu },\pi _{\mu \nu }]$$ K [ g μ ν , π μ ν ] is a new term including the kinetic degrees of freedom of the field. Such an action allows us to define an ensemble for the quantum fluctuations of $$g_{\mu \nu }$$ g μ ν analogous to the microcanonical one in statistical mechanics, with the only difference that in the present case one has conservation of the generalized action $${\mathcal {A}}[g_{\mu \nu },\pi _{\mu \nu }]$$ A [ g μ ν , π μ ν ] and not of energy. Since the Einstein–Hilbert action $$S[g_{\mu \nu }]$$ S [ g μ ν ] plays the role of a potential term in the new pseudo-Hamiltonian formalism, it can fluctuate along the symplectic action-preserving dynamics. These fluctuations are the quantum fluctuations of $$g_{\mu \nu }$$ g μ ν . Finally, we show how the standard path-integral approach to gravity can be obtained as an approximation of the symplectic quantization approach. By doing so we explain how the integration over the conjugated momentum field $$\pi _{\mu \nu }$$ π μ ν gives rise to a cosmological constant term in the path-integral approach.

Long and short time quantum dynamics: II. Kinetic regime

2005 ◽  
Vol 29 (1-2) ◽  
pp. 175-195 ◽  
Author(s):  
Václav Špička ◽  
Bedřich Velický ◽  
Anděla Kalvová
Keyword(s):  
Quantum Dynamics ◽  
Kinetic Regime ◽  
Time Quantum ◽  
Short Time
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