Quantum Logic Approach to Wave Packet Control
Open accessAbstract
We study control of wave packets with a finite accuracy, approaching it as quantum information processing. For a given control resolution, we define the analogs of several quantum bits within the shape of a single wave packet. These bits are based on wave packet symmetries. Analogs of one- and two-bit gates can be implemented using only free wave packet evolution and coordinate-dependent ac Stark shifts applied at the moments of fractional revivals. As in quantum computation, the gates form a logarithmically small set of basis operations which can be used to approximate any unitary transformation desired for quantum control of the wave packet dynamics. Numerical examples show the application of this approach to control vibrational wave packet revivals.
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The total electric current in real graphene is the sum of two equal contributions from wave packets around the K1 and K2 points.
“Therefore, the total electric current is the sum of two contributions coming from two different wave packets: Ψ as given by Eq. (4) and Φ obtained after replacing”
From Revivals, classical periodicity, and zitterbewegung of electron currents in monolayer graphene (2009) · cites this paper as [24]
A small gap of order 10 meV in real graphene caused by impurities, electron-electron interactions, etc., does not change T_Cl and T_R from the gapless model, but changes T_ZB quantitatively with a new interband frequency Ω̂ = (Ω^2 + E_gap^2)^{1/2}/ħ.
“However, the periods T Cl and T R will be the same than those calculated in the gapless model due to the fact that they are derivatives of the energies, and only the T ZB period will change quantitatively with a new interband frequency ˆ Ω = (Ω 2 + E 2 gap ) 1 / 2 / ℏ 24 .”
From Revivals, classical periodicity, and zitterbewegung of electron currents in monolayer graphene (2009) · cites this paper as [24]
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Cites
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Cited by
Sorted by citations
Revivals, classical periodicity, and zitterbewegung of electron currents in monolayer graphene
Romera, E., & de los Santos, F. (2009) · Physical Review B · doi:10.1103/physrevb.80.165416 · Cited by 69 · see citing works
- Authors
- Shapiro, E. A., Spanner, M., & Ivanov, M. Y.
- Affiliations
- Steacie Institute for Molecular Sciences (CA)
- University of Waterloo (CA)
- ORCID
- Ivanov, Misha Yu.
- Venue
- Physical Review Letters
- Publisher
- American Physical Society (APS)
- Published
- 2003-12-05
- Volume
- 91
- Issue
- 23
- Pages
- 237901-237901
- ISSN
- 0031-9007 (ISSN-L)
- 1079-7114
- OpenAlex
- W2063666615
- Cited by
- 70
- References
- 17
- Citations by year
- 2026: 1 · 2024: 1 · 2022: 1 · 2020: 1 · 2018: 1 · 2017: 2 · 2016: 3 · 2015: 2 · 2013: 1 · 2012: 3
- FWCI
- 4.92
- Type
- journal article
- Language
- en
- Open access
- Locations
- Physical Review Letters (publishedVersion)
- PubMed (publishedVersion)
- NPARC (submittedVersion)
- Topics
- Physical Sciences › Physics and Astronomy › Statistical and Nonlinear Physics › Quantum chaos and dynamical systems
- Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Quantum Mechanics and Applications
- Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Laser-Matter Interactions and Applications
- Keywords
- quantum logic, quantum information processing, qubits, quantum gates, AC Stark shift, fractional revivals, vibrational wave packets
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