Wigner Functions – Systems and Generalizations| Wigner Functions – Systems and Generalizations |
Specific Types of Systems
> s.a. wigner functions / quantum systems.
@ General references: Dias & Prata JMP(02)qp/00 [with boundaries];
Curtright et al PLA(02)ht/01,
Polkovnikov AP(10)-a0905 [many-body];
Tilma et al PRL(16)-a1601 [for arbitrary quantum systems].
@ Qubits: Franco & Penna JPA(06)qp/05 [2 qubits, entanglement];
Klimov et al AP(09)-a0806 [n qubits];
Barry & Drummond PRA(08)-a0808 [qubits, SU(n) coherent states];
Adam et al JRLR-a1312 [qubits, and tomography];
Kijowski et al a1512 [one qubit];
Marchiolli & Galetti a1908 [two-qubit and ququart states].
@ Other discrete systems:
Leonhardt PRL(95),
PRA(96) [and tomography];
Atakishiyev et al JMP(98) [finite data sets];
Bianucci et al PLA(02) [e.g., quantum computers];
Luís PRA(04)
[states on single phase-space points];
Gibbons et al PRA(04)qp [based on finite fields];
Galvão PRA(05)qp/04 [and computation];
Argüelles & Dittrich PhyA(05)qp;
Cormick et al PRA(06)qp/05 [classicality];
Chaturvedi et al Pra(05)qp [algebraic];
Ruzzi et al JPA(05) [Cahill-Glauber formalism];
Gross JMP(06)qp [non-negative];
Klimov et al qp/06-ln;
Cormick & Paz PRA(06)qp [interference];
Wootters & Sussman a0704-proc [and minimum uncertainty states];
Gross & Eisert QIC(08)-a0710 [quantum Margulis expander map];
Casaccino et al PRA(08) [extrema];
Livine JPA(10)-a0906;
Saraceno & Ozorio de Almeida JPA(19)-a1808 [identities];
Marchiolli & Galetti JPA(19)-a1908 [SU(N)];
Braasch & Wootters PRA(20)-a2007 [transition probabilities].
@ Particle on a lattice: Takami et al PRA(01)hl/00;
Hinarejos et al NJP(12)-a1205,
NJP(15)-a1405 [infinite lattice].
@ H atom, Coulomb potential:
Holstein AJP(95)aug;
Nouri PRA(98);
Praxmeyer et al JPA(06)qp/05.
@ Infinite potential walls: Belloni et al AJP(04)sep,
Dong et al PS(04) [square well];
Walton AP(07)qp/06.
@ Damped systems:
Chruściński mp/02;
Belchev & Walton AP(09)-a0810 [and deformation quantization].
@ And tunneling: Heim et al PLA(13)-a1302 [through a parabolic barrier];
Lin & Dahlsten PRA(20)-a1607
[negative Wigner function].
@ Angle and angular momentum: Kastrup PRA(16)-a1601;
Kastrup PRA(17)-a1702,
a1710
[angle and orbital angular momentum, and applications].
@ Other systems: Lee PLA(90) [potential step, quantum potential];
Diósi & Kiefer JPA(02)qp/01 [Markovian open system];
Horvat & Prosen JPA(03),
qp/06-proc [classically chaotic];
O'Connell JOB(03)qp [dissipative, decoherence];
Genovese et al qp/05 [open boundary, failure];
Regniers & Van der Jeugt JMP(10)-a1011 [simple 1D Hamiltonians];
Benavides-Riveros & Gracia-Bondía PRA(13)-a1207 [fermions and bosons];
Harland et al PRA(12)-a1210 [ensemble of spins or qubits];
NJP(13)-a1210 [for the orientation state of extended quantum objects];
Sels & Brosens PRE(13)-a1307 [system coupled to an external quantum system];
Przanowski et al FdP(19)-a1812 [particle with spin];
Seyfarth et al Quant(20)-a1911 [for SU(1,1)].
@ Field theory:
Ochs & Heinz AP(98) [covariant];
Amorim et al PhyA(09);
Giese et al proc(14)-a1402 [intro, and gravity];
Roux & Fabre a1901 [quantum optics];
> s.a. quantum cosmology; quantum dirac fields;
quantum field theory in curved spacetime; spacetime
geometry in quantum gravity.
> Related topics:
see Kerr State; photon;
quantum oscillator; spinning quantum particle.
Variations, Generalizations > s.a. deformation quantization
[including constrained systems]; representations in quantum theory.
@ Relativistic: Sonego PRA(91);
Morgan PLA(04)qp/03;
Dragoman a0803 [and localization];
Campos et al PRA(14)-a1402 [non-classicality];
Kowalski & Rembielinski PLA-a1903.
@ Discrete phase space: Gudder JMP(86);
Bang & Berger PRA(09) [wave packets];
Hadhrami & Vourdas PRA(09) [fourth-order interference];
Marchiolli & Ruzzi AP(12);
Van der Jeugt JPA(13)-a1310,
Oste & Van der Jeugt JPA(14) [finite oscillator systems];
Zhu PRL(16)-a1504 [and permutation symmetry];
Przanowski & Tosiek JMP(17)-a1609 [and number-phase Wigner function];
> s.a. random walk.
@ And deformation: Zachos IJMPA(02)ht/01;
Costa Dias & Prata MPLA(05)ht-proc;
Błaszak & Domański AP(12)-a1009 [rev].
@ Other phase spaces: Antonsen gq/97-proc;
Alonso et al JMP(02)qp [hyperboloids],
JMP(03) [spheres];
Gneiting et al PRA(13)-a1309 [curved configuration space];
Ligabò a1409 [torus phase space].
@ In non-commutative quantum mechanics:
Wang et al a0908;
Chowdhury & Twareque Ali JMP(15)-a1506 [group-representation based].
@ Other variations: Cohen JMP(66) [more general quasi-probability distribution functions];
Fairlie CSF(99)ht/98 [generalized Wigner function];
Hakioglu & Tepedelenlioglu JPA(00) [action-angle Wigner function];
Włodarz PLA(01);
Curtright & Veitia JMP(07)qp [quasi-hermitian];
Ibort et al JPA(09)
[on the space of irreducible representations of the Weyl-Heisenberg group];
Hu & Fan PRA(09) [generalized phase-space representation];
Beck & Sergi JPA(13) [partial Wigner picture];
Utz et al a1405 [extended, for particles with internal degrees of freedom];
Yeole et al EPJP-a2006 [with minimum length, from gup].
> Related topics:
see Fermi Function.
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