Modern Quantum Mechanics

Sakurai, Jun; Napolitano, J.

doi:10.1017/9781108587280

Cited by 881 publications

(640 citation statements)

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“…Why for example should we base our ontology on temporally evolving states (the central object of the Schrödinger picture) rather than temporally evolving operators (the central object of the equivalent Heisenberg picture)? [35] Furthermore, consider for a moment the plight of some hypothetical observers who live in a world which does in fact generically violate CA, i.e. a world in which events stand in modal relations to one another without any mediating beables in the spacetime regions between the events.…”

Section: Ontologymentioning

confidence: 99%

Two Roads to Retrocausality

Adlam¹

2022

Preprint

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Section: Ontologymentioning

confidence: 99%

Two Roads to Retrocausality

Adlam¹

2022

Preprint

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“…In this appendix we give the details on the discretization of the quantum mechanical system considered in the main text and the map to the qubits available in the quantum computer. The discussion in this appendix is quite standard and can be found in quantum mechanics/computing textbooks [24,51].…”

Section: Appendix A: Discretization and Encoding Detailsmentioning

confidence: 99%

A quantum strategy to compute the jet quenching parameter $$\hat{q}$$

Barata

Salgado

2021

Eur. Phys. J. C

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Jet quenching, the modification of the properties of a QCD jet when the parton cascade takes place inside a medium, is an intrinsically quantum process, where color coherence effects play an essential role. Despite a very significant progress in the last years, the simulation of a full quantum medium induced cascade remains inaccessible to classical Monte Carlo parton showers. In this situation, alternative formulations are worth being tried and the fast developments in quantum computing provide a very promising direction. The goal of this paper is to introduce a strategy to quantum simulate single particle momentum broadening, the simplest building block of jet quenching. Momentum broadening is the modification of the quark or gluon transverse momentum due interactions with the underlying medium, modeled as a QCD background field. At the lowest order in $$\alpha _s$$ α s that we consider here, momentum broadening does not involve parton splittings and particle number is conserved, greatly simplifying the quantum algorithmic implementation. This quantity is, however, very relevant for the phenomenology of RHIC, LHC or the future EIC.

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“…Considering the initial condition c n (0) = δ ni , first-order time-dependent perturbation theory gives [55] c (1)…”

Section: Jhep09(2021)103mentioning

confidence: 99%

Fermions on wobbling kinks: normal versus quasinormal modes

Campos

Mohammadi

2021

J. High Energ. Phys.

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The system consisting of a fermion in the background of a wobbling kink is studied in this paper. To investigate the impact of the wobbling on the fermion-kink interaction, we employ the time-dependent perturbation theory formalism in quantum mechanics. To do so, we compute the transition probabilities between states given in terms of the Bogoliubov coefficients. We derive Fermi’s golden rule for the model, which allows the transition to the continuum at a constant rate if the fermion-kink coupling constant is smaller than the wobbling frequency. Moreover, we study the system replacing the shape mode with a quasinormal mode. In this case, the transition rate to continuum decays in time due to the leakage of the mode, and the final transition probability decreases sharply for large coupling constants in a way that is analogous to Fermi’s golden rule. Throughout the paper, we compare the perturbative results with numerical simulations and show that they are in good agreement.

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Modern Quantum Mechanics

Cited by 881 publications

References 0 publications

Two Roads to Retrocausality

Two Roads to Retrocausality

A quantum strategy to compute the jet quenching parameter $$\hat{q}$$

Fermions on wobbling kinks: normal versus quasinormal modes

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