实现论文与算法论文
下面列出了各个 ALPS 应用程序的实现论文，以及它们所依据的原始算法论文。
并行蒙特卡洛调度程序
实现论文
M. Troyer, B. Ammon, and E. Heeb, Parallel object oriented Monte Carlo Simulations, Lect. Notes Comput. Sci. 1505, 191 (1998).
精确对角化与完全对角化 — sparsediag 与 fulldiag
源代码：applications/diag/sparsediag/, fulldiag/
实现论文
B. Bauer, L. D. Carr, H. G. Evertz, A. Feiguin, J. Freire, S. Fuchs, L. Gamper, J. Gukelberger, E. Gull, S. Guertler, A. Hehn, R. Igarashi, S. V. Isakov, D. Koop, P. N. Ma, P. Mates, H. Matsuo, O. Parcollet, G. Pawłowski, J. D. Picon, L. Pollet, E. Santos, V. W. Scarola, U. Schollwöck, C. Silva, B. Surer, S. Todo, S. Trebst, M. Troyer, M. L. Wall, P. Werner, and S. Wessel, The ALPS project release 2.0: open source software for strongly correlated systems, J. Stat. Mech. 2011, P05001 (2011).
算法论文
C. Lanczos, An iteration method for the solution of the eigenvalue problem of linear differential and integral operators, J. Res. Natl. Bur. Stand. 45, 255-282 (1950).
自旋模型的经典蒙特卡洛 — spinmc
算法论文
R. H. Swendsen and J.-S. Wang, Nonuniversal critical dynamics in Monte Carlo simulations, Phys. Rev. Lett. 58, 86 (1987).
U. Wolff, Collective Monte Carlo updating for spin systems, Phys. Rev. Lett. 62, 361 (1989).
圈算法 QMC — looper
实现论文
S. Todo and K. Kato, Cluster Algorithms for General-S Quantum Spin Systems, Phys. Rev. Lett. 87, 047203 (2001).
算法论文
H. G. Evertz, G. Lana, and M. Marcu, Cluster algorithm for vertex models, Phys. Rev. Lett. 70, 875 (1993).
B. B. Beard and U.-J. Wiese, Simulations of Discrete Quantum Systems in Continuous Euclidean Time, Phys. Rev. Lett. 77, 5130 (1996).
H. G. Evertz, The loop algorithm, Adv. Phys. 52, 1 (2003).
SSE 表示下的有向圈代码 — dirloop_sse
源代码：applications/qmc/sse/, sse2/, sse4/
实现论文
F. Alet, S. Wessel, and M. Troyer, Generalized directed loop method for quantum Monte Carlo simulations, Phys. Rev. E 71, 036706 (2005).
算法论文
A. W. Sandvik, Stochastic series expansion method with operator-loop update, Phys. Rev. B 59, R14157 (1999).
O. F. Syljuåsen and A. W. Sandvik, Quantum Monte Carlo with directed loops, Phys. Rev. E 66, 046701 (2002).
蠕虫算法代码 — worms
算法论文
N. V. Prokof’ev, B. V. Svistunov, and I. S. Tupitsyn, “Worm” algorithm in quantum Monte Carlo simulations, Phys. Lett. A 238, 253 (1998).
量子 Wang-Landau平直直方图 QMC — qwl
实现论文
M. Troyer, S. Wessel, and F. Alet, Wang-Landau sampling for quantum systems: algorithms to overcome tunneling problems and calculate the free energy, Phys. Rev. Lett. 90, 120201 (2003).
DMFT：CT-QMC 杂质求解器与动力学平均场理论 — dmft、interaction、hybridization
实现论文
E. Gull, P. Werner, S. Fuchs, B. Surer, T. Pruschke, and M. Troyer, Continuous-Time Quantum Monte Carlo Impurity Solvers, Comput. Phys. Commun. 182, 1078 (2011).
算法论文
A. N. Rubtsov, V. V. Savkin, and A. I. Lichtenstein, Continuous-time quantum Monte Carlo method for fermions, Phys. Rev. B 72, 035122 (2005).
P. Werner, A. Comanac, L. de’ Medici, M. Troyer, and A. J. Millis, Continuous-Time Solver for Quantum Impurity Models, Phys. Rev. Lett. 97, 076405 (2006).
E. Gull, A. J. Millis, A. I. Lichtenstein, A. N. Rubtsov, M. Troyer, and P. Werner, Continuous-time Monte Carlo methods for quantum impurity models, Rev. Mod. Phys. 83, 349 (2011).
DMRG — dmrg
实现论文
A. E. Feiguin, The Density Matrix Renormalization Group. In: A. Avella and F. Mancini (eds.), Strongly Correlated Systems, Springer Series in Solid-State Sciences 176, 31–65 (2013).
算法论文
S. R. White, Density matrix formulation for quantum renormalization groups, Phys. Rev. Lett. 69, 2863 (1992).
S. R. White, Density-matrix algorithms for quantum renormalization groups, Phys. Rev. B 48, 10345 (1993).
U. Schollwöck, The density-matrix renormalization group, Rev. Mod. Phys. 77, 259 (2005).
K. Hallberg, New Trends in Density Matrix Renormalization, Adv. Phys. 55, 477 (2006).