Adiabatic transport of qubits around a black hole

Viennot, David; Moro, Olivia

doi:10.1088/1361-6382/aa5b5c

Cited by 4 publications

(8 citation statements)

References 27 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…The dynamics of the spin is then governed by the Hamiltonian −ıω a ua . This is in accordance with previous results concerning the dynamics of localized qubit in curved spacetimes [29] (a detailed study of this spin dynamics can be found in [29]). The localized qubit model comes from a WKB analysis.…”

Section: Emergent Metric and Emergent Lorentz Connectionsupporting

confidence: 93%

“…Is there a decoherence process inducing the transition from the emergent geometry at the microscopic level to the one at the macroscopic level? unitary (see [29])), this implies that c p (t) = O(max(ǫ, 1/T )) ∀p = 0.…”

Section: Discussionmentioning

confidence: 97%

“…where the dual quasi-energy state Λ * | is defined by 64) is then similar to a non-abelian geometric phase generator associated with a nonhermitian Hamiltonian (see for example [28], and see [29] for an application to a localized spin adiabatically transported in a curved spacetime). The difference is that here the dissipative process onto the spin is not induced by the non-selfadjointness of the spin Hamiltonian but by the entanglement between the spin with the noncommutative manifold.…”

Section: Separable Quasi-coherent State Casementioning

confidence: 99%

See 2 more Smart Citations

Emergent gravity and D-brane adiabatic dynamics: emergent Lorentz connection

Viennot

2021

Preprint

Self Cite

View full text Add to dashboard Cite

We explore emergent geometry of the spacetime at the microscopic scale by adiabatic transport of a quasicoherent state of a fermionic string, with quantum gravity described by the matrix theory (BFSS matrix model). We show that the generator of the Berry phase is the shift vector of the spacetime foliation by spacelike surfaces associated with the quasicoherent state. The operatorvalued generator of the geometric phase of weak adiabatic transport is the Lorentz connection of the emergent geometry which is not torsion free at the microscopic scale. The effects of the torsion seem consistent with the usual interpretation of the Berry curvature as a pseudo magnetic field.

show abstract

Section: Emergent Metric and Emergent Lorentz Connectionsupporting

confidence: 93%

Section: Discussionmentioning

confidence: 97%

Section: Separable Quasi-coherent State Casementioning

confidence: 99%

See 1 more Smart Citation

Emergent gravity and D-brane adiabatic dynamics: emergent Lorentz connection

Viennot

2021

Preprint

Self Cite

View full text Add to dashboard Cite

show abstract

“…Recently, however, a number of investigations by incorporating Grassmann variables in fermionic systems have appeared in the literature [59][60][61][62][63][64][65][66][67][68][69][70][71][72][73][74][75][76]. Among them are the phase space methods for degenerate Fermi gases [59], counting statistics and quantum Monte-Carlo methods of strongly correlated fermions [62], superfluidity [67] and Cooper-like pairing in trapped fermions [68], to name just a few.…”

Section: Properties Of Anti-commuting Numbersmentioning

confidence: 99%

Born-Kothari Condensation for Fermions

Ghosh

2017

Entropy

View full text Add to dashboard Cite

Abstract:In the spirit of Bose-Einstein condensation, we present a detailed account of the statistical description of the condensation phenomena for a Fermi-Dirac gas following the works of Born and Kothari. For bosons, while the condensed phase below a certain critical temperature, permits macroscopic occupation at the lowest energy single particle state, for fermions, due to Pauli exclusion principle, the condensed phase occurs only in the form of a single occupancy dense modes at the highest energy state. In spite of these rudimentary differences, our recent findings [Ghosh and Ray, 2017] identify the foregoing phenomenon as condensation-like coherence among fermions in an analogous way to Bose-Einstein condensate which is collectively described by a coherent matter wave. To reach the above conclusion, we employ the close relationship between the statistical methods of bosonic and fermionic fields pioneered by Cahill and Glauber. In addition to our previous results, we described in this mini-review that the highest momentum (energy) for individual fermions, prerequisite for the condensation process, can be specified in terms of the natural length and energy scales of the problem. The existence of such condensed phases, which are of obvious significance in the context of elementary particles, have also been scrutinized.

show abstract

“…In a recent paper [1], we have studied the decoherence phenomenon induced on a qubit (supported by the spin of a fermion) falling into a black hole. This study has needed some strong semi-classical approximations in quantum field theory on curved space-time (only first quantization of the fermion, localization of the qubit (WKB approximation), adiabatic approximation of the dynamics).…”

Section: Introductionmentioning

confidence: 99%

Chaos, decoherence and emergent extradimensions in D-brane dynamics with fluctuations

Viennot¹,

Aubourg²

2018

Class. Quantum Grav.

Self Cite

View full text Add to dashboard Cite

We study, by using tools of the dynamical system theory, a fermionic string streched from a non-commutative D2-brane (stack of D0-branes in the BFSS model) to a probe D0-brane as a quantum system driven by a chaotic system, the (classical and quantum) chaos being induced in the D2-brane dynamics by quantum fluctuations. We show that this dynamics with fluctuations induces a decoherence phenomenon on the reduced density matrix of the fermionic string which is characteristic of the chaotic behaviour since it presents an horizon of coherence. Moreover we show that this dynamics is associated with an invariant torus which involves extradimensions emerging from the fluctuations for the viewpoint of the fermionic string, extending a three dimensional space by six compact dimensions. The situation studied can be considered as a model of qubit (supported by the fermionic string) in interaction with a quantum black hole (modelized by the non-commutative D2-brane).

show abstract

Adiabatic transport of qubits around a black hole

Cited by 4 publications

References 27 publications

Emergent gravity and D-brane adiabatic dynamics: emergent Lorentz connection

Emergent gravity and D-brane adiabatic dynamics: emergent Lorentz connection

Born-Kothari Condensation for Fermions

Chaos, decoherence and emergent extradimensions in D-brane dynamics with fluctuations

Contact Info

Product

Resources

About