Time-dependent variational principle with controlled bond expansion for matrix product states

• URL: http://arxiv.org/abs/2208.10972v1
• Date: Tue, 23 Aug 2022 13:44:34 GMT
• Title: Time-dependent variational principle with controlled bond expansion for matrix product states
• Authors: Jheng-Wei Li, Andreas Gleis, Jan von Delft
• Abstract summary: We present a controlled bond expansion (CBE) approach to simulate quantum dynamics based on the time-dependent variational principle (TDVP) Our method alleviates the numerical difficulties of the standard, fixed-rank one-site TDVP integrator by increasing bond dimensions on the fly to reduce the projection error.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: We present a controlled bond expansion (CBE) approach to simulate quantum dynamics based on the time-dependent variational principle (TDVP) for matrix product states. Our method alleviates the numerical difficulties of the standard, fixed-rank one-site TDVP integrator by increasing bond dimensions on the fly to reduce the projection error. This is achieved in an economical, local fashion, requiring only minor modifications of standard one-site TDVP implementations. We illustrate the performance of CBE--TDVP with several numerical examples on finite quantum lattices.

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