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Published on: August 2, 2019
Entanglement and the Mott insulator--superfluid phase transition in bosonic atom chains
R J Costa Farias1, M C de Oliveira
1Instituto de Física Gleb Wataghin, Universidade Estadual de Campinas, 13083-970, Campinas--SP, Brazil. regi@ifi.unicamp.br
Summary
We studied quantum entanglement during the Mott insulator-superfluid phase transition. Entanglement evolves through the transition, with bipartite entanglement distributed respecting monogamous relations.
Area of Science:
- Quantum physics
- Condensed matter physics
Background:
- Mott insulator and superfluid states are fundamental in quantum mechanics.
- Quantum phase transitions offer insights into many-body systems.
Purpose of the Study:
- To analyze bipartite and multipartite entanglement evolution.
- To investigate entanglement dynamics across the Mott insulator-superfluid quantum phase transition.
Main Methods:
- Derivation of an expression for a completely connected graph configuration of bosons.
- Analysis of entanglement development starting from a Mott insulator state (filling factor ν = 1).
Main Results:
- Demonstrated the evolution of bipartite and multipartite entanglement through the quantum phase transition.
- Showed that bipartite entanglement distributes throughout the system during the transition.
- Confirmed that this distribution respects monogamous relations.
Conclusions:
- The Mott insulator-superfluid transition significantly impacts quantum entanglement.
- Entanglement dynamics are constrained by monogamy during this phase transition.
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