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Time-dependent variational principle for quantum lattices

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arxiv 1103.0936 v2 pith:HX6MEX7C submitted 2011-03-04 cond-mat.str-el cond-mat.stat-mechquant-ph

Time-dependent variational principle for quantum lattices

Jutho Haegeman , J. Ignacio Cirac , Tobias J. Osborne , Iztok Pizorn , Henri Verschelde , Frank Verstraete This is my paper
classification cond-mat.str-el cond-mat.stat-mechquant-ph
keywords algorithmimaginaryprinciplequantumtimetime-dependenttrottervariational
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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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.

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