Quantum Coupled-Spin Models| Quantum Coupled-Spin Models |
In General
> s.a. coupled-spin models / Bath;
Husimi Functions; modified quantum mechanics.
@ General references:
Nachtergaele qp/04-en [intro];
Bruce NCB(07) [description in non-relativistic quantum mechanics];
Dür & Van den Nest PRL(11)-a1106 [connection between ground states and classical thermal states];
Bachmann & Nachtergaele PRB(12)-a1112 [vacua with boundary states];
Ueltschi JMP(13)-a1301 [random loop representations];
Keating et al CMP(15)-a1403 [spectra and eigenstates];
Bachmann & Bluhm a1508 [local factorization of the dynamics].
@ Computation: Marzuoli & Rasetti AP(05);
Kay & Ericsson NJP(05)qp;
Bravyi et al CMP(08)-a0707 [algorithm for ground state energy];
Gottesman PiC-a0911 [and computational complexity];
Tserkovnyak & Loss PRA(11);
Schachenmayer et al PRX(15) [semiclassical method].
@ Quantum correlations:
Nachtergaele et al JSP(06);
Campbell et al PRA(11)-a1105;
Zhang et al AP(11);
Sarandy et al IJMPB(13)-a1208 [ground state of spin chains];
Kastoryano & Eisert JMP(13) [mixing and decay of correlations];
Kliesch et al PRX(14)-a1309 [in thermal quantum states].
@ Partition function: Murg et al PRL(05)cm;
Gillespie JCP(13)
[sampling-the-mean (non-Monte-Carlo) random sampling];
De las Cuevas JPB(13)-a1312 [quantum information approach];
Mann & Helmuth a2004 [polynomial-time approximation algorithm].
@ Phases: Ueltschi PRE(15)-a1406 [the curious nematic phase of S = 1 quantum spin systems];
Erdős & Schröder MPAG(14)-a1407 [phase transition in the density of states].
@ Related topics:
Netony & Redig JSP(04) [large deviations];
Paramekanti & Marston JPC(07)cm/06 [SU(n) models];
Crawford CMP(07)
[mean-field, thermodynamics and universality];
Nachtergaele & Sims in(09)-a0712 [locality];
O'Hara & O'Leary PRA(09) [large ground-state energy gaps];
Hamma et al PRD(10)-a0912 [quantum Bose-Hubbard model as model for emergent spacetime];
Movassagh & Edelman PRL(11)-a1012 ["isotropic entanglement" method];
> s.a. non-extensive statistics; quantum theory
in phase space [qubits]; renormalization.
Entanglement > s.a. entanglement.
@ General references:
Xu et al PLA(02) [1D chain];
Bose & Chattopadhyay PRA(02) [jumps];
Schliemann PRA(03)qp/02 [two spins];
Brennen & Bullock PRA(04)qp [1D chain, thermal state];
Dür et al PRL(05)qp/04 [long-range interactions];
Aharonov et al PRA(04) [two spin-1/2];
Roscilde et al qp/04-conf [critical systems];
Gühne et al NJP(05);
Hamieh & Katsnelson PRA(05)qp [dynamics];
Biskup et al CMP(07)mp/05 [finite T];
Sreedhar MPLA(07)ht/06 [topological origin];
Perseguers et al PRA(08)-a0708 [pure states, entanglement distribution];
Plastina & Apollaro PRL(07)-a0712 [local control];
Hotta JPSJ(09)-a0803 [energy teleportation];
Alba et al JSM(09)-a0909 [excited states];
Amico & Fazio JPA(09)-a0911 [and magnetic order];
Zippilli et al PRA(13)-a1302
[surface entanglement, in arbitrary geometries and dimensionalities];
Cui & Mintert NJP(15)-a1407 [disordered spin chains, long-distance entanglement].
@ Graph states: Hein et al PRA(04)qp/03,
qp/06-proc [intro].
@ And criticality, phase transitions: Brody et al qp/01;
Wei et al PRA(05)qp/04;
Roscilde et al PRL(04)cm [s = 1/2 chains];
Gu et al NJP(06)qp/05 [XXZ models];
Reuter et al PRS(07)qp/06 [geometric phases];
Cui et al PLA(08) [3D Heisenberg model];
Znidaric et al PRA(08) [complexity of thermal states];
> s.a. phase transitions and quantum phase transitions.
Dynamics, Classicality
> s.a. coherent states; localization;
markov processes; zeno effect.
@ Semiclassical: Fröhlich et al LMP(07)-a0709;
Giraud et al PRA(08)-a0805 [classicality];
Ribeiro & Paul PRA(09) [near the critical classical energy];
Sławianowski et al JGSP(11)-a1007,
JGSP(11)-a1008 [quasiclassical limit for large quantum numbers];
Davidson & Polkovnikov PRL(15)-a1406 [spin-1, SU(3) representation].
@ Spin + bath:
Tessieri & Wilkie JPA(03);
García-Palacios & Dattagupta PRL(05)qp;
Hamdouni & Petruccione PRB(07)-a0710;
Merkli et al AP(08)-a0804;
Rodríguez & Gutiérrez a0806 [non-Markovian dynamics];
Sinaysky et al PRA(08)-a0807 [two baths at different temperatures];
Bozat & Gedik SSC(08)-a0808 [mediated by phonons];
Schliemann PRB(10)-a0902;
Castagnino et al JPA(10)-a1001 [many spins + bath];
Yuan a1005 [and thermalization];
Bhaktavatsala Rao et al PRL(11)-a1012 [generation of macroscopic quantum-superposition states];
Semin et al PRA(14)-a1401;
> s.a. decoherence.
@ Information propagation / storage:
Osborne & Linden PRA(04);
Cappellaro et al PRA(07)-a0706;
Yoshida AP(13)-a1111 [storage capacity];
Rafiee et al PRA(13) [effect of noise on qubit transfer fidelity];
Jonckheere et al QINP-a1408 [information transfer fidelity].
@ Related topics: Grünbaum et al JMP(13) [and classical birth and death processes];
Fagotti JPA(17)-a1608 [in non-interacting spin chains, and currents].
Specific Models > s.a. coupled-spin models;
quantum systems; spin-foam models;
Spin Liquid.
* Spin ice: A magnetic substance
that does not have a single minimal-energy state, because of frustrated interactions;
> s.a. Disordered Systems; monopole
phenomenology; Wikipedia page.
@ References: Takada & Nishimori JPA(16)-a1602 [dissipative quantum spin systems];
Martin et al PRX(17) [spin ice, disorder and correlations].
main page
– abbreviations
– journals – comments
– other sites – acknowledgements
send feedback and suggestions to bombelli at olemiss.edu – modified 26 apr 2020