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Published on: August 2, 2019
Classical simulation of infinite-size quantum lattice systems in two spatial dimensions
1School of Physical Sciences, The University of Queensland, QLD 4072, Australia.
Physical Review Letters
|December 31, 2008
Summary
We developed a new algorithm to simulate 2D quantum lattice systems in the thermodynamic limit, enabling ground state computation and time evolution analysis for infinite systems. This method aids in understanding quantum phase transitions.
Area of Science:
- Quantum physics
- Condensed matter physics
- Computational physics
Background:
- Simulating quantum lattice systems is computationally challenging, especially in the thermodynamic limit.
- Existing methods like Projected Entangled-Pair States (PEPS) and Infinite Time-Evolving Block Decimation (iTEBD) have limitations for 2D systems.
Purpose of the Study:
- To present a novel algorithm for simulating 2D quantum lattice systems in the thermodynamic limit.
- To enable computation of ground states and simulation of time evolution in infinite 2D systems.
- To analyze quantum phase transitions in these systems.
Main Methods:
- The algorithm combines concepts from the PEPS algorithm for finite systems and the iTEBD algorithm for 1D infinite systems.
- It is designed for 2D lattice systems that are invariant under translations.
- The method allows for the calculation of ground states and real-time evolution.
Main Results:
- The algorithm successfully computed the ground state of the quantum Ising model.
- It facilitated the analysis of the model's second-order quantum phase transition.
- The performance demonstrates the algorithm's capability for 2D thermodynamic limit simulations.
Conclusions:
- The developed algorithm provides an effective tool for studying infinite 2D quantum lattice systems.
- It opens new avenues for investigating quantum phenomena and phase transitions in condensed matter systems.
- This approach advances the simulation capabilities for complex quantum many-body systems.
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