Abstract
Macroscopic quantum effects have been familiar since the discovery of superfluids and superconductors over 100 years ago. In the last few decades, it has been understood how large-scale quantum effects can also show up in “spin space.” The collective tunneling of many spins was observed in magnetic nanomolecules and in insulating dipolar-coupled spin arrays, and the tunneling of ferromagnetic domain walls has also been cleanly identified. To see large-scale coherence or entanglement effects, the decoherence caused by interactions with the environment (particularly with nuclear spins) must be controlled. Theory indicates ways of doing this, and systems ranging from classic magnetic compounds to deterministically doped silicon will make the job easier. Coherent control of quantum spin arrays, and large-scale quantum spin superpositions, is a likely prospect for the future.
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References
London. F.: The λ-phenomenon of liquid He and the Bose-Einstein degeneracy. Nature 141, 643 (1938)
Feynman, R.P.: Spacetime approach to non-relativistic quantum mechanics. Rev. Mod. Phys. 20, 367 (1948)
Feynman, R.P.: The Feynman Lectures on Physics, vol. 3. Addison-Wesley (1965)
Shapere. A., Wilczek. F.: Geometric Phases in Physics. World Scientific (1989)
Klauder, J.R.: Path integrals and stationary phase approximations. Phys. Rev. D19, 2349 (1979)
Berry, M.V.: Quantal Phase factors accompanying adiabatic changes. Proc. Roy. Soc. A392, 45 (1984)
Auerbach. A.: Interacting Electrons and Quantum Magnetism. Springer (1994)
Aharonov. Y, Bohm. D.: Significance of electromagnetic potentials. Phys. Rev. 115, 485 (1959)
Haldane, F.D.M.: Non-linear field thery of large-spin Heisenberg antiferromagnets: semiclassically quantized solitons of the 1-d easy-axis Néel state. Phys. Rev. Lett. 50, 1153 (1983)
Bogachek, E.N., Krive, I.V.: Quantum oscillations in small magnetic particles. Phys. Rev. B46, 14559 (1992)
Garg. A.: Topologically Quenched Tunnel Splitting in Spin Systems without Kramers’ Degeneracy. Europhys. Lett. 22, 205 (1993)
Tupitsyn, I.S., Barbara, B.: Quantum tunneling of Magnetisation in molecular complexes with large spins: effect of the Environment. In: Miller, J.S., Drillon, M. (eds.) Magnetoscience- from Molecules to Materials, vol. 3, pp. 109–168. Wiley (2001)
Kramers. H.A.: Théorie générale de la rotation paramagnétique dans les cristaux. Proc. Acad. Sci. Amst. 33, 959 (1930)
Bennett, C.H., DiVincenzo, D.: Quantum information and computation. Nature 404, 247 (2000)
Lo, H.-K., Popescu, S., Spiller, T.: Introduction to Quantum Computation and Information. World Scientific (1998)
Nielsen, M.A., Chuang, I.L.: Quantum Computation and Quantum Information. Cambridge University Press (2000)
Mohanty, P., Jariwala, E.M.Q., Webb, R.A.: Intrinsic decoherence in mesocopic systems. Phys. Rev. Lett. 78, 3366 (1997)
Aleiner, I.L., Altshuler, B.L., Gershenson, M.E.: Interaction effects and phase relaxation in disordered systems. Waves Random Media 9, 201 (1999)
Prokof’ev, N.V., Stamp, P.C.E.: Theory of the spin bath. Rep. Prog. 63, 669 (2000)
Caldeira, A.O., Leggett, A.J.: Quantum tunneling in a dissipative system. Ann. Phys. 149, 374 (1984)
Leggett, A.J., Chakravarty. S, Dorsey, A.T., Fisher, M.P.A., Garg, A., Zwerger, W.: Dynamics of the dissipative 2-state system. Rev. Mod. Phys. 59, 1 (1987)
Weiss, U.: Quantum Dissipative Systems. World Scientific (1999)
Prokof’ev, N.V., Stamp, P.C.E.: Giant spins and topological decoherence: a Hamiltonian approach. J. Phys. CM 5, L663 (1993)
Anderson, P.W.: Infrared catastrophe in fermi gases with local scattering potentials. Phys. Rev. Lett. 18, 1049 (1967).
Prokof’ev, N.V., Stamp, P.C.E.: Quantum relaxation of magnetisation in magnetic Particles. J. Low Temp. Phys. 104, 143 (1996)
Dubé, M., Stamp, P.C.E.: Mechanisms of decoherence at low Temperatures. Chem. Phys. 268, 257 (2001)
Prokof’ev, N.V., Stamp, P.C.E.: Low-T relaxation in a system of Magnetic molecules. Phys. Rev. Lett. 80, 5794 (1998)
Ohm, T., et al.: Local field dynamics in a resonant quantum tunneling system of magnetic molecules. Europhys. J. B6, 595 (1998)
Thomas, L., et al.: Non-exponential scaling of the magnetisation relaxation in Mn12 acetate. Phys. Rev. Lett. 83, 2398 (1999)
Wernsdorfer, W., Ohm, T., Sangregorio, C., Sessoli, R., Mailly, D., Paulsen, C.: Observation of the distribution of molecular spin states by resonant quantum tunneling of the magnetisation. Phys. Rev. Lett. 82, 3903 (1999)
Wernsdorfer, W., Sessoli, R.: (1999) Quantum phase interference and parity effects in Magnetic molecular clusters. Science 284, 133
Wernsdorfer, W., Caneschi, A., Sessoli, R., Gatteschi, D., Cornia, A., Paulsen, C.: Effect of nuclear spins on the quantum relaxation of the magnetisation for the molecular magnet Fe-8. Phys. Rev. Lett. 84, 2965 (2000)
Morello, A., et al.: Quantum tunneling of magnetisation in Mn12-ac studied by Mn-55 NMR. Polyhedron 22, 1745–1749 (2003)
Veldhorst, M., Yang, C.H., Hwang, J.C.C., Huang, W., Dehollain, J.P., Muhonen, J.T., Simmons, S., Laucht, A., Hudson, F.E., Itoh, K.M., Morello, A., Dzurak, A.S.: A two-qubit logic gate in silicon. Nature 526, 410(2015)
Sachdev, S.: Quantum Phase Transitions. Ch. 16. Cambridge University Press (1999)
Thill, M.J., Huse, D.A.: Equilibrium behaviour of quantum Ising spin glass. Physica 214A, 321 (1995)
Brooke, J., Rosenbaum, T.F., Aeppli, G.: Tunable quantum tunneling of magnetic domain walls. Nature 413, 610 (2001)
Kirkpatrick, S., Gelatt, C.D., Vecchi, M.P.: Optimisation by simulated annealing. Science 220, 671 (1983)
Brooke, J., Bitko, D., Rosenbaum, T.F., Aeppli, G.: Quantum annealing of a disordered magnet. Science 284, 779 (1999)
Giraud, R., Wernsdorfer, W., Tkachuk, A.M., Mailly, D., Barbara, B.: Nuclear spin driven quantum relaxation in LiY0.998 Ho0.002 F4. Phys. Rev. Lett. 87, 057203 (2001)
van Kampen, N.G.: Ten Theorems about Quantum Mechanical Measurements. Physica A153, 97 (1988)
Washburn, S., Webb, R.A., Voss, R.F., Faris, S.M.: Effects of dissipation and temperature on macroscopic quantum tunneling. Phys. Rev. Lett. 54, 2712 (1985)
Clarke, J., Cleland, A.N., Devoret, M., Esteve, D., Martinis, J.M.: Quantum mechanics of a macroscopic variable: the phase difference of a Josephson junction. Science 239, 992 (1998)
Stamp, P.C.E.: Quantum dynamics and tunneling of domain walls in ferromagnetic insulators. Phys. Rev. Lett. 66, 2802 (1991)
Paulsen, C., et al.: Macroscopic Quantum Tunnelling Effects of Bloch Walls in Small Ferromagnetic Particles. Europhys. Lett. 19, 643 (1992)
Hong, K., Giordano, N.: Effect of microwaves on domain wall motion in this Ni wires. Europhys. Lett. 36, 147 (1996)
Tatara, G., Fukuyama, H.: Macroscopic quantum tunneling of a domain wall in a ferromagnetic metal. Phys. Rev. Lett. 72, 772 (1994)
Dubé, M., Stamp, P.C.E.: Effect of Phonons and Nuclear Spins on the tunneling of a Domain wall. J. Low Temp. Phys. 110, 779 (1998)
Van der Wal, C.H., ter Haar, A.J.C., Wilhelm, F.K., Shouten, R.N.: Harmans, C.J.P.M., Orlando, T.P., Lloyd, S., Mooij, J.E.: Quantum Superposition of Macroscopic Persistent-Current states. Science 290, 773 (2000)
Vion, D., Aasime, A., Cottet, A., Joyez, P., Pothier, H., Urbina, C., Esteve, D., Devoret, M.: Manipulating the Quantum State of an Electrical Circuit. Science 296, 886 (2002)
Chiorescu, I., Nakamura, Y., Harmans, C.J.P.M., Mooij, J.E.: Coherent quantum dynamics of a superconducting flux qubit. Science 299, 1869 (2003)
Stamp, P.C.E., Tupitsyn, I.S.: Coherence window in the dynamics of quantum nanomagnets. Phys. Rev. B69, 014401 (2004)
Gider, S., et al.: Classical and quantum magnetic phenomena in natural and artificial ferritin proteins. Science 268, 77 (1995)
Kane, B.L.: A Si-based nuclear spin quantum computer. Nature 393, 133 (1998)
Privman, V., Vagner, I.D., Kventsel, G.: Quantum computation in quantum-Hall systems Phys. Lett. A236, 141 (1998)
Barrett, S.D., Milburn, G.J.: Measuring the decoherence rate in a semiconductor charge qubit. Phys. Rev. B68, 155307 (2003)
Ghosh, S., Parthasarathy, R., Rosenbaum, T.F., Aeppli, G.: Coherent spin oscillations in a disordered magnet. Science 296, 2195 (2002)
Viola, L., Lloyd, S.: Dynamical supression of decoherence in 2-state quantum systems. Phys. Rev. A58, 2733 (1998)
Wu, L.A., Lidar, D.A.: Creating decoherence free subspaces using strong and fast pulses. Phys. Rev. Lett. 88, 207902 (2002)
Manoharan, H.C., Lutz, C.P., Eigler, D.M.: Quantum Mirages formed by coherent projection of electronic structure. Nature 403, 512 (2000)
Wolf, S.A., Awschalom, D.D., Buhrman, R.A., Daughton, J.M., von Molnar, S., Roukes, M.L., Chtchelkanova, A.Y., Treger, D.M.: Spintronics: a spin-based electronics vision for the future. Science 294, 1488 (2001)
Johnson, M.W., Amin, M.H.S, Gildert, S., Lanting, T., Hamze, F., Dickson, N., Harris, R., Berkley, A.J., Johansson, J., Bunyk, P., Chapple, E.M., Enderud, C., Hilton, J.P., Karimi, K., Ladizinsky, E., Ladizinsky, N., Oh, T., Perminov, I., Rich, C., Thom, M.C., Tolkacheva, E., Truncik, C.J.S., Uchaikin, S., Wang, J., Wilson, B., Rose, G.: Quantum annealing with manufactured spins. Nature 473 194 (2011)
Vollhardt, D., Wölfle, P.: The superfluid phases of Helium 3. Taylor & Francis (1990)
Schmidt, M.A., Silevitch, D.M., Aeppli, G., Rosenbaum, T.F.: Using thermal boundary conditions to engineer the quantum state of a bulk ferromagnet. PNAS 111, 3689 (2014)
Stamper-Kurn, D.M., Miesner, H.J., Chikkatur, A.P., Inouye, S., Stenger, J., Ketterle, W.: Quantum tunneling across spin domains in a BEC. Phys.Rev. Lett. 83, 661 (1999)
Ketterle, W.: Spinor condenstates and light scattering from Bose-Einstein condensates. Proc. Les Houches summer school LXXII (1999)
Watson, T.F., Philips, S.G.J., Kawakami, E., Ward, D.R., Scarlino, P., Veldhorst, M., Savage, D.E., Lagally, M.G., Mark Friesen, Coppersmith, S.N., Eriksson, M.A., Vandersypen, L.M.K.: A programmable two-qubit quantum processor in silicon. Nature 555, 263 (2018)
Shpyrko, O., Isaacs, E., Logan, J., Yejun Feng, Aeppli. G, Jaramillo, R., Kim, H.C., Rosenbaum, T.F., Zschack, P., Sprung, M., Narayanan, S., Sandy, A.R.: Direct measurement of antiferromagnetic domain fluctuations. Nature 447, 68–71 (2007). https://doi.org/10.1038/nature05776
Silevitch, D.M., Tang, C., Aeppli, G., Rosenbaum, T.F.: Tuning high-Q nonlinear dynamics in a disordered quantum magnet. Nat. Commun. 10, 4001 (2019). https://doi.org/10.1038/s41467-019-11985-1
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Aeppli, G., Stamp, P. (2021). Quantum Magnetism. In: Coey, J.M.D., Parkin, S.S. (eds) Handbook of Magnetism and Magnetic Materials. Springer, Cham. https://doi.org/10.1007/978-3-030-63210-6_5
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DOI: https://doi.org/10.1007/978-3-030-63210-6_5
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