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We present a numerical method to simulate the dynamics of continuous-variable quantum many-body systems.
Quantum bits with josephson junctions
Kockum, A. F. & Nori, F · 1908
Earlier work this paper cites.
Solving quantum rotor model with different monte carlo techniques
Jiang, W., Pan, G., Liu, Y. & Meng, Z. Y · 1912
Earlier work this paper cites.
Equation of state calculations by fast computing machines
Metropolis, N., Rosenbluth, A. W., Rosenbluth, M. N., Teller, A. H. & Teller, E · 1953
Earlier work this paper cites.
Coefficients for the study of runge-kutta integration processes
Butcher, J. C · 1963
Earlier work this paper cites.
Monte carlo sampling methods using markov chains and their applications
Hastings, W. K · 1970
Earlier work this paper cites.
Renormalization, vortices, and symmetry-breaking perturbations in the two-dimensional planar model
José, J. V., Kadanoff, L. P., Kirkpatrick, S. & Nelson, D. R · 1977
Earlier work this paper cites.
A 3(2) pair of runge - kutta formulas
Bogacki, P. & Shampine, L · 1989
Earlier work this paper cites.
The Uncertainty Relation Between Energy and Time in Non-relativistic Quantum Mechanics , 115–123 (Springer Berlin Heidelberg, Berlin, Heidelberg, 1991)
Mandelstam, L. & Tamm, I · 1991
Earlier work this paper cites.
Numerical Recipes in C (Cambridge University Press, Cambridge, USA, 1992), second edn
Press, W. H., Teukolsky, S. A., Vetterling, W. T. & Flannery, B. P · 1992
Earlier work this paper cites.
Density matrix formulation for quantum renormalization groups
White, S. R · 1992
Earlier work this paper cites.
Coherent control of quantum dynamics: The dream is alive
Warren, W. S., Rabitz, H. & Dahleh, M · 1993
Earlier work this paper cites.
Natural gradient works efficiently in learning
Amari, S. I · 1998
Earlier work this paper cites.
Green function monte carlo with stochastic reconfiguration
Sorella, S · 1998
Earlier work this paper cites.
Two Dimensional Josephson Junction Arrays
Martinoli, P. & Leemann, C · 2000
Earlier work this paper cites.
Efficient classical simulation of slightly entangled quantum computations
Vidal, G · 2003
Earlier work this paper cites.
Efficient simulation of one-dimensional quantum many-body systems
Vidal, G · 2004
Earlier work this paper cites.
Renormalization algorithms for quantum-many body systems in two and higher dimensions (2004)
Verstraete, F. & Cirac, J. I · 2004
Earlier work this paper cites.
Array programming with NumPy
Harris, C. R. et al · 2006
Earlier work this paper cites.
Matplotlib: A 2D graphics environment
Hunter, J. D · 2007
Earlier work this paper cites.
Numerical Methods for Ordinary Differential Equations (John Wiley & Sons, Ltd, 2008)
Butcher, J. C · 2008
Earlier work this paper cites.
Primal-dual subgradient methods for convex problems
Nesterov, Y · 2009
Earlier work this paper cites.
Colloquium: Nonequilibrium dynamics of closed interacting quantum systems
Polkovnikov, A., Sengupta, K., Silva, A. & Vengalattore, M · 2011
Cited alongside, same era.
Handbook of Markov Chain Monte Carlo (Chapman and Hall/CRC, 2011)
Neal, R. M · 2011
Cited alongside, same era.
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Hoffman, M. D. & Gelman, A · 2011
Cited alongside, same era.
Time-dependent variational principle for quantum lattices
Haegeman, J. et al · 2011
Cited alongside, same era.
Localization and glassy dynamics of many-body quantum systems
Carleo, G., Becca, F., Schiró, M. & Fabrizio, M · 2012
Cited alongside, same era.
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Later among the works it cites.
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Later among the works it cites.
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