Entangled quantum state of magnetic dipoles

Nature

Volumn 425, Issue 6953, 2003, Pages 48-51

  Ghosh, S ^a   Rosenbaum, T F ^a   Aeppli, G ^b,c   Coppersmith, S N ^d  

^a UNIVERSITY OF CHICAGO   (United States)

^b UNIVERSITY COLLEGE LONDON   (United Kingdom)

^c NEC LABORATORIES AMERICA   (United States)

^d University of Wisconsin Madison   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTER SIMULATION; DEGREES OF FREEDOM (MECHANICS); MAGNETIC FIELD EFFECTS; MAGNETIC MOMENTS; MAGNETIZATION; SEMICONDUCTOR DOPING; THERMAL EFFECTS;

QUANTUM SPIN;

QUANTUM THEORY;

MAGNETIC FIELD;

ACCELERATION; ARTICLE; DIPOLE; ENERGY; MAGNETIC FIELD; MAGNETISM; PRIORITY JOURNAL; QUANTUM MECHANICS; SEMICONDUCTOR; SIMULATION; SPECTRUM; TEMPERATURE DEPENDENCE; WAVEFORM;

EID: 0042410587     PISSN: 00280836     EISSN: None     Source Type: Journal    
DOI: 10.1038/nature01888     Document Type: Article

References (22)

1. Paalanen, M. A., Ruckenstein, A. E. & Thomas, G. A. Spins in Si:P close to the metal-insulator transition. Phys. Rev. Lett. 54, 1295-1298 (1985).
2. Schröder, A. et al. Onset of antiferromagnetism in heavy-fermion metals. Nature 407, 351-355 (2000).
3. Reich, D. H. et al. Dipolar magnets and glasses: Neutron scattering, dynamical, and calorimetric studies of randomly distributed Ising spins. Phys. Rev. B 42, 4631-4644 (1990).
4. Aharony, A. & Stephen, M. J. Percolation with long-range interactions. J. Phys. C 14, 1665-1670 (1981).
5. Reich, D. H., Rosenbaum, T. F. & Aeppli, G. Glassy relaxation without freezing in a random dipolar-coupled Ising magnet. Phys. Rev. Lett. 59, 1969-1972 (1987).
6. Ghosh, S., Patthasarathy, R., Rosenbaum, T. F. & Aeppli, G. Coherent spin oscillations in a disordered magnet. Science 296, 2195-2198 (2002).
7. Bhatt, R. N. & Lee, P. A. Scaling studies of highly disordered spin-l/2 antiferromagnetic, systems. Phys. Rev. Lett. 48, 344-347 (1982).
8. Ma, S. K., Dasgupta, C. & Hu, C. K. Random antiferromagnetic chain. Phys. Rev. Lett. 43, 1434-1437 (1979).
9. Dasgupti, C. & Ma, S. K. Low temperature properties of the random Heisenberg antiferromagnetic chain. Phys. Rev. B 22, 1305-1319 (1980).
10. Fisher, D. S. Random transverse field Ising spin chains. Phys. Rev. Lett. 69, 534-537 (1992).
11. Fisher, D. S. Critical behaviour of random transverse-field Ising spin chains. Phys. Rev. B 51, 6411-6461 (1995).
12. Westerberg, E., Furusaki, A., Sigrist, M. & Lee, P. A. Random quantum spin chains: A real space renormalization group study. Phys. Rev. Lett. 75, 4302-4305 (1995).
13. Phillips, P., Izzo, D. & Kundu, K. Spin-lattice relaxation below 1 K: A new mechanism for unexpected nuclear spin relaxation. Phys. Rev. B 37, 10876-10879 (1988).
14. 4 and crystal-field parameters at the rare-earth and Li sites. Phys. Rev. B 12, 5315-5324 (1975).
15. Bitko, D., Rosenbaum, T. E & Aeppli, G. Quantum critical behaviour for a model magnet. Phys. Rev. Lett. 77, 940-943 (1996).
16. 4 at submillimeter frequencies. Phys. Rev. B 21, 18-28 (1980).
17. Van Vleck, J. H. Quantum mechanics - the key to understanding magnetism. Rev. Mod. Phys 50, 181-189 (1978).
18. Gunlycke, D., Kendon, V. M., Vedral, V. & Bose, S. Thermal concurrence mixing in a one-dimensional Ising model. Phys. Rev. A 64, 042302 (2001).
19. Wootters, W. K. Entanglement of formation of an arbitrary state of two qubits. Phys. Rev. Lett. 80, 2245-2248 (1998).
20. Osterloh, A., Amico, L., Falci, G. & Fazio, R. Scaling of entanglement close to a quantum phase transition. Nature 416, 608-610 (2002).
21. Arnesen, M. C., Bose, S. & Vedral, V. Natural thermal and magnetic entanglement in the ID Heisenberg model. Phys. Rev. Lett. 87, 017901 (2001).
22. Osborne, T. J. & Nielsen, M. A. Entanglement, quantum phase transitions, and density matrix renormalization. Quant. Inform. Process. 1, 45-53 (2002).