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Author  |
Hinarejos, M.; Bañuls, M.C.; Perez, A. |
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Title |
Wigner formalism for a particle on an infinite lattice: dynamics and spin |
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Journal Article |
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Year |
2015 |
Publication |
New Journal of Physics |
Abbreviated Journal |
New J. Phys. |
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Volume |
17 |
Issue |
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Pages |
013037 - 16pp |
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Keywords |
Wigner functions; dynamics on a lattice; spin-dependent forces |
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Abstract |
The recently proposed Wigner function for a particle in an infinite lattice (Hinarejos M, Banuls MC and Perez A 2012 New J. Phys. 14 103009) is extended here to include an internal degree of freedom as spin. This extension is made by introducing a Wigner matrix. The formalism is developed to account for dynamical processes, with or without decoherence. We show explicit solutions for the case of Hamiltonian evolution under a position-dependent potential, and for evolution governed by a master equation under some simple models of decoherence, for which the Wigner matrix formalism is well suited. Discrete processes are also discussed. Finally, we discuss the possibility of introducing a negativity concept for the Wigner function in the case where the spin degree of freedom is included. |
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Address |
[Hinarejos, M.; Perez, A.] Univ Valencia, CSIC, Dept Fis Teor, E-46100 Burjassot, Spain, Email: banulsm@mpq.mpg.de |
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Iop Publishing Ltd |
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English |
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ISSN |
1367-2630 |
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Notes |
WOS:000348759800007 |
Approved |
no |
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Is ISI |
yes |
International Collaboration |
yes |
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Call Number |
IFIC @ pastor @ |
Serial |
2101 |
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Author |
Hinarejos, M.; Bañuls, M.C.; Perez, A. |
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Title |
A Study of Wigner Functions for Discrete-Time Quantum Walks |
Type |
Journal Article |
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Year |
2013 |
Publication |
Journal of Computational and Theoretical Nanoscience |
Abbreviated Journal |
J. Comput. Theor. Nanosci. |
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Volume |
10 |
Issue |
7 |
Pages |
1626-1633 |
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Keywords |
Quantum Walk; Wigner Function; Negativity |
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Abstract |
We perform a systematic study of the discrete time Quantum Walk on one dimension using Wigner functions, which are generalized to include the chirality (or coin) degree of freedom. In particular, we analyze the evolution of the negative volume in phase space, as a function of time, for different initial states. This negativity can be used to quantify the degree of departure of the system from a classical state. We also relate this quantity to the entanglement between the coin and walker subspaces. |
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Address |
[Hinarejos, M.; Perez, A.] Univ Valencia, Dept Fis Teor, CSIC, E-46100 Burjassot, Spain |
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Publisher |
Amer Scientific Publishers |
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English |
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ISSN |
1546-1955 |
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Notes |
WOS:000322605800014 |
Approved |
no |
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Is ISI |
yes |
International Collaboration |
yes |
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Call Number |
IFIC @ pastor @ |
Serial |
1529 |
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Author |
Hinarejos, M.; Bañuls, M.C.; Perez, A.; de Vega, I. |
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Title |
Non-Markovianity and memory of the initial state |
Type |
Journal Article |
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Year |
2017 |
Publication |
Journal of Physics A |
Abbreviated Journal |
J. Phys. A |
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Volume |
50 |
Issue |
32 |
Pages |
335301 - 17pp |
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Keywords |
non-Markovianity; quantum distinguisability; quantum fidelity |
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Abstract |
We explore in a rigorous manner the intuitive connection between the non-Markovianity of the evolution of an open quantum system and the performance of the system as a quantum memory. Using the paradigmatic case of a two-level open quantum system coupled to a bosonic bath, we compute the recovery fidelity, which measures the best possible performance of the system to store a qubit of information. We deduce that this quantity is connected, but not uniquely determined, by the non-Markovianity, for which we adopt the Breuer-Laine-Piilo measure proposed in Breuer et al (2009 Phys. Rev. Lett. 103 210401). We illustrate our findings with explicit calculations for the case of a structured environment. |
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Address |
[Hinarejos, Margarida] Univ Republica, Fac Ingn, Inst Fis, Av Julio Herrera y Reissig 565, Montevideo 11300, Uruguay, Email: Armando.Perez@uv.es |
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Publisher |
Iop Publishing Ltd |
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English |
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ISSN |
1751-8113 |
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Expedition |
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Conference |
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Notes |
WOS:000405672800001 |
Approved |
no |
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Is ISI |
yes |
International Collaboration |
yes |
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Call Number |
IFIC @ pastor @ |
Serial |
3206 |
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Author |
Hinarejos, M.; Di Franco, C.; Romanelli, A.; Perez, A. |
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Title |
Chirality asymptotic behavior and non-Markovianity in quantum walks on a line |
Type |
Journal Article |
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Year |
2014 |
Publication |
Physical Review A |
Abbreviated Journal |
Phys. Rev. A |
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Volume |
89 |
Issue |
5 |
Pages |
052330 - 7pp |
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Keywords |
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Abstract |
We investigate the time evolution of the chirality reduced density matrix for a discrete-time quantum walk on a one-dimensional lattice. The matrix is obtained by tracing out the spatial degree of freedom. We analyze the standard case, without decoherence, and the situation in which decoherence appears in the form of broken links in the lattice. By examining the trace distance for possible pairs of initial states as a function of time, we conclude that the evolution of the reduced density matrix is non-Markovian, in the sense defined by Breuer, Laine, and Piilo [Phys. Rev. Lett. 103, 210401 (2009)]. As the level of noise increases, the dynamics approaches a Markovian process. The highest non-Markovianity corresponds to the case without decoherence. The reduced density matrix tends always to a well-defined limit that we calculate, but only in the decoherence-free case is this limit nontrivial. |
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Address |
[Hinarejos, Margarida; Perez, Armando] Univ Valencia, CSIC, Dept Fis Teor, E-46100 Burjassot, Spain |
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Publisher |
Amer Physical Soc |
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English |
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Abbreviated Series Title |
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Series Volume |
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Series Issue |
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Edition |
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ISSN |
1050-2947 |
ISBN |
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Conference |
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Notes |
WOS:000336751300003 |
Approved |
no |
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Is ISI |
yes |
International Collaboration |
yes |
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Call Number |
IFIC @ pastor @ |
Serial |
1807 |
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| Permanent link to this record |
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Author |
Hinarejos, M.; Perez, A.; Bañuls, M.C. |
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Title |
Wigner function for a particle in an infinite lattice |
Type |
Journal Article |
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Year |
2012 |
Publication |
New Journal of Physics |
Abbreviated Journal |
New J. Phys. |
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Volume |
14 |
Issue |
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Pages |
103009 - 19pp |
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Keywords |
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Abstract |
We study the Wigner function for a quantum system with a discrete, infinite-dimensional Hilbert space, such as a spinless particle moving on a one-dimensional infinite lattice. We discuss the peculiarities of this scenario and of the associated phase-space construction, propose a meaningful definition of the Wigner function in this case and characterize the set of pure states for which it is non-negative. We propose a measure of non-classicality for states in this system, which is consistent with the continuum limit. The prescriptions introduced here are illustrated by applying them to localized and Gaussian states and to their superpositions. |
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Address |
[Banuls, M. C.] Max Planck Inst Quantum Opt, D-85748 Garching, Germany, Email: mari.banuls@mpq.mpg.de |
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Corporate Author |
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Thesis |
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Publisher |
Iop Publishing Ltd |
Place of Publication |
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Editor |
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Language |
English |
Summary Language |
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Original Title |
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Series Editor |
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Series Title |
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Abbreviated Series Title |
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Series Volume |
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Series Issue |
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Edition |
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ISSN |
1367-2630 |
ISBN |
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Medium |
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Area |
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Expedition |
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Conference |
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Notes |
WOS:000309396700001 |
Approved |
no |
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Is ISI |
yes |
International Collaboration |
yes |
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Call Number |
IFIC @ pastor @ |
Serial |
1180 |
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