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Generation and Coherent Control of Pulsed Quantum Frequency Combs
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Published on: June 8, 2018

Time-dependent variational principle for quantum lattices.

Jutho Haegeman1, J Ignacio Cirac, Tobias J Osborne

  • 1Department of Physics and Astronomy, Ghent University, Belgium.

Physical Review Letters
|September 10, 2011
PubMed
Summary
This summary is machine-generated.

We present an efficient algorithm for simulating quantum lattice dynamics using the time-dependent variational principle and matrix product states. This method avoids Trotter errors and preserves symmetries for accurate simulations.

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Area of Science:

  • Quantum physics
  • Computational condensed matter physics

Background:

  • Simulating quantum dynamics in one-dimensional systems is computationally challenging.
  • Existing methods often rely on approximations like Trotter decomposition, introducing errors.

Purpose of the Study:

  • To develop a novel, efficient algorithm for simulating real- and imaginary-time dynamics of infinite one-dimensional quantum lattices.
  • To overcome limitations of existing simulation techniques.

Main Methods:

  • Application of the time-dependent variational principle (TDVP).
  • Utilizing matrix product states (MPS) for representing quantum states.
  • Developing a procedure that avoids Trotter decomposition.

Main Results:

  • The algorithm achieves high efficiency and low computational complexity.
  • It guarantees preservation of all symmetries and conservation laws.
  • The method is free from Trotter errors, ensuring higher accuracy.

Conclusions:

  • The developed algorithm offers an optimal approach for simulating quantum lattice dynamics.
  • It provides a powerful tool for studying complex quantum systems with high fidelity.