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Anderson localization and Mott insulator phase in the time domain
1Instytut Fizyki imienia Mariana Smoluchowskiego, Uniwersytet Jagiellon'ski, ul. Prof. S. Łojasiewicza 11 PL-30-348 Kraków, Poland Mark Kac Complex Systems Research Center, Uniwersytet Jagiellon'ski, ul. Prof. S. Łojasiewicza 11 PL-30-348 Kraków, Poland.
Scientific Reports
|June 16, 2015
Summary
Researchers demonstrate solid-state physics phenomena like Anderson localization and Mott insulator phases in the time domain. This opens new avenues for observing crystal-like behaviors using time-periodic systems.
Area of Science:
- Quantum physics
- Condensed matter physics
- Nonlinear dynamics
Background:
- Periodic potentials in space are fundamental to solid-state physics, enabling crystalline structures.
- Time-periodic systems offer a potential analogue for exploring similar phenomena in the temporal domain.
Purpose of the Study:
- To investigate if solid-state physics phenomena, such as Anderson localization and Mott insulator phases, can be realized in time-periodic systems.
- To explore the behavior of wave-packets in driven systems and their potential for temporal analogs of crystalline states.
Main Methods:
- Utilizing wave-packets localized on resonant classical trajectories in periodically driven systems.
- Introducing time-fluctuating perturbations to induce temporal disorder.
- Analyzing many-particle systems with varying interaction strengths to observe stationary states.
Main Results:
- Demonstrated Anderson localization and Mott insulator phases in the time domain using driven systems.
- Identified uniform superpositions of wave-packets as stationary states in periodically driven particles.
- Observed that many-particle systems exhibit Bose-Einstein condensates or single Fock states depending on interaction strength.
Conclusions:
- Solid-state crystalline phenomena can be observed and studied in the time domain.
- Periodically driven systems provide a novel platform for realizing temporal analogues of condensed matter phases.
- This research bridges concepts from solid-state physics and dynamical systems, offering new insights into quantum phenomena.
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