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Information theoretic measures for interacting bosons in optical lattice.
Rhombik Roy1, Barnali Chakrabarti1, N D Chavda2
1Department of Physics, Presidency University, 86/1 College Street, Kolkata 700073, India.
Physical Review. E
|March 18, 2023
Summary
This study reveals that López-Ruiz-Mancini-Calbet (LMC) complexity effectively tracks superfluid to Mott insulator transitions in interacting bosons. LMC complexity offers a sensitive measure for quantum phase transitions and dynamics.
Area of Science:
- Quantum physics
- Many-body systems
- Atomic physics
Background:
- Interacting bosons in optical lattices exhibit quantum phase transitions.
- Information-theoretic measures can characterize these transitions.
- Shannon information entropy is a standard but limited tool.
Purpose of the Study:
- To investigate various information-theoretic measures for characterizing quantum phase transitions.
- To compare the efficacy of López-Ruiz-Mancini-Calbet (LMC) complexity against Shannon entropy.
- To analyze the dynamics of these measures during superfluid to Mott insulator transitions.
Main Methods:
- Solving the many-body Schrödinger equation using the multiconfigurational time-dependent Hartree method.
- Calculating information-theoretic measures including Shannon entropy and LMC complexity.
- Analyzing both relaxed and quenched states of interacting bosons.
Main Results:
- LMC complexity accurately depicts the superfluid to Mott insulator transition in both relaxed and quenched states.
- LMC complexity dynamics reveal timescales for state entries and holding times during quench dynamics.
- Fluctuations in LMC complexity for incommensurate filling indicate incomplete transitions.
Conclusions:
- LMC complexity is a more sensitive indicator of quantum phase transitions than Shannon entropy.
- The distinct structure of LMC complexity provides a figure of merit for quench dynamics.
- Information-theoretic measures, particularly LMC complexity, offer powerful insights into quantum many-body systems.
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