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wdlang
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we know in bloch oscillation, the wavefunction of an electron returns to its initial state after a period, but up to a phase.
my question is, can this phase be nontrivial?
my question is, can this phase be nontrivial?
wdlang said:we know in bloch oscillation, the wavefunction of an electron returns to its initial state after a period, but up to a phase.
my question is, can this phase be nontrivial?
Berry's phase of Bloch oscillation refers to the geometric phase that is acquired by a quantum particle moving in a crystal lattice under the influence of a time-dependent external force. It is a manifestation of the adiabatic theorem in quantum mechanics.
Berry's phase is intimately related to Bloch oscillation as it describes the additional phase that is accumulated by the particle during its motion in the crystal lattice. This phase is crucial in understanding the dynamics of quantum particles in periodic structures.
Berry's phase in Bloch oscillation has important physical implications, such as affecting the energy spectrum of the particle and influencing its transport properties. It has also been used to demonstrate topological effects in condensed matter systems.
Berry's phase in Bloch oscillation can be observed experimentally by measuring the interference pattern of the particle after it completes a full oscillation. The accumulated phase can be extracted by comparing the measured interference pattern with the expected pattern in the absence of Berry's phase.
Yes, Berry's phase in Bloch oscillation can be controlled by tuning the parameters of the external force, such as its frequency and amplitude, or by modifying the properties of the crystal lattice. This offers potential applications in quantum information processing and quantum control.