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Time-dependent variational principle for quantum lattices · Around

2011

Time-dependent variational principle for quantum lattices

Haegeman, Jutho, Cirac, J. Ignacio, Osborne, Tobias J. et al.

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We develop a new algorithm based on the time-dependent variational principle applied to matrix product states to efficiently simulate the real- and imaginary time dynamics for infinite one-dimensional quantum lattice systems.

This procedure: (1) is argued to be optimal; (2) does not rely on the Trotter decomposition and thus has no Trotter error; (3) explicitly preserves all symmetries and conservation laws; and (4) has low computational complexity.
The algorithm is illustrated using both imaginary time and real-time examples.

Built on

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M.A. Cazalilla and J.B. Marst on, Phys. Rev. Lett. 88
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G. Vidal, Phys. Rev. Lett. 93
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Then

B. Pirvu, V. Murg, J.I. Cirac and F. Verstraete, New J. Phys. 12
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M. Fannes, B. Nachtergaele, R. F. Werner, Commun. Math. Phys. 144
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B. Pirvu, F. Verstraete, and G. Vidal, Phys. Rev. B 83
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J. Zhao, D.N. Sheng, F.D.M. Haldane, arXiv:1103.0772 (2011)
Original
2011
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