| Reference: | [1] G. H. Wannier, Phys. Rev. 79, 357 (1950).
[2] J. Stephenson, Journal of Mathematical Physics 11, 413 (1970).
[3] Y. Jiang and T. Emig, Phys. Rev. B 73, 104452 (2006).
[4] R. Moessner, S. L. Sondhi, and P. Chandra, Phys. Rev. Lett. 84, 4457 (2000).
[5] R. Moessner and S. L. Sondhi, Phys. Rev. B 63, 224401 (2001).
[6] R. Moessner, S. L. Sondhi, and P. Chandra, Phys. Rev. B 64, 144416 (2001).
[7] S. V. Isakov and R. Moessner, Phys. Rev. B 68, 104409 (2003).
[8] D. Blankschtein, M. Ma, A. N. Berker, G. S. Grest, and C. M. Soukoulis, Phys. Rev. B 29, 5250 (1984).
[9] H. F. Trotter, Proc. Am. Math. Soc. 10, 545 (1959).
[10] M. Suzuki, Prog. Theor. Phys. 56, 1454 (1976).
[11] J. V. José, L. P. Kadanoff, S. Kirkpatrick, and D. R. Nelson, Phys. Rev. B 16, 1217 (1977).
[12] D. R. Nelson and J. M. Kosterlitz, Phys. Rev. Lett. 39, 1201 (1977).
[13] J. Cardy, Scaling and renormalization in statistical physics, volume 5, Cambridge
university press, 1996.
[14] M. Campostrini, M. Hasenbusch, A. Pelissetto, P. Rossi, and E. Vicari, Phys. Rev.
B 63, 214503 (2001).
[15] M. Žukovič, L. Mižišin, and A. Bobák, Acta Physica Polonica A 126, 40 (2014).
[16] S. Liang, Phys. Rev. B 42, 6555 (1990).
[17] A. W. Sandvik, Phys. Rev. Lett. 95, 207203 (2005).
[18] A. W. Sandvik and K. S. D. Beach, arXiv:0704.1469, (2007).
[19] R. G. Melko, Stochastic Series Expansion Quantum Monte Carlo, pages 185–206, Springer Berlin Heidelberg, Berlin, Heidelberg, 2013.
[20] A. W. Sandvik, Phys. Rev. E 68, 056701 (2003).
[21] S. Inglis and R. G. Melko, New Journal of Physics 15, 073048 (2013).
[22] N. Metropolis, A. W. Rosenbluth, M. N. Rosenbluth, A. H. Teller, and E. Teller, J. Chem. Phys. 21, 1087 (1953).
[23] R. H. Swendsen and J.-S. Wang, Phys. Rev. Lett. 58, 86 (1987).
[24] K. Binder, Phys. Rev. Lett. 47, 693 (1981).
[25] A. W. Sandvik, AIP Conf. Proc. 1297, 135 (2010).
[26] E. Farhi et al., Science 292, 472 (2001).
[27] C.-W. Liu, A. Polkovnikov, and A. W. Sandvik, Phys. Rev. B 87, 174302 (2013).
[28] C.-W.Liu,A.Polkovnikov,andA.W.Sandvik,Phys.Rev.Lett.114,147203(2015).
[29] M. W. Johnson et al., Nature 473, 194 (2011).
[30] M. Born and V. Fock, Zeitschrift fur Physik 51, 165 (1928).
[31] T. Kadowaki and H. Nishimori, Phys. Rev. E 58, 5355 (1998).
[32] G. E. Santoro, R. Martoňák, E. Tosatti, and R. Car, Science 295, 2427 (2002).
[33] G. E. Santoro and E. Tosatti, Journal of Physics A: Mathematical and General 39, R393 (2006).
[34] S. Boixo et al., Nature Physics 10, 218 (2014).
[35] C. De Grandi and A. Polkovnikov, Adiabatic Perturbation Theory: From Landau– Zener Problem to Quenching Through a Quantum Critical Point, pages 75–114, Springer Berlin Heidelberg, Berlin, Heidelberg, 2010.
[36] 黃湘喻, 以模擬量子退火過程探索自旋系統的基態, Master’s thesis, 國立政治 大學, 2014.
[37] B. Damski and W. H. Zurek, Phys. Rev. A 73, 063405 (2006).
[38] T. W. Kibble, Journal of Physics A: Mathematical and General 9, 1387 (1976).
[39] T. W. Kibble, Physics Reports 67, 183 (1980).
[40] W. Zurek, Nature 317, 505 (1985).
[41] W. H. Zurek, Physics Reports 276, 177 (1996).
[42] J. Dziarmaga, Phys. Rev. Lett. 95, 245701 (2005).
[43] A. Polkovnikov, Phys. Rev. B 72, 161201 (2005).
[44] W. H. Zurek, U. Dorner, and P. Zoller, Phys. Rev. Lett. 95, 105701 (2005).
[45] A. W. Sandvik and J. Kurkijärvi, Phys. Rev. B 43, 5950 (1991).
[46] A. W. Sandvik, Journal of Physics A: Mathematical and General 25, 3667 (1992).
[47] D. C. Handscomb, Mathematical Proceedings of the Cambridge Philosophical So- ciety 58, 594–598 (1962).
[48] D. C. Handscomb, Mathematical Proceedings of the Cambridge Philosophical So- ciety 60, 115–122 (1964).
[49] A. W. Sandvik, Phys. Rev. B 56, 11678 (1997).
[50] M. Hasenbusch and S. Meyer, Physics Letters B 241, 238 (1990). |
