RealFeedApp Quantum walk on a lattice with two distinct targets
The study constructs a framework showing how ergodicity breaking in monitored quantum dynamics causes pointwise discontinuous jumps in detection probabilities. In a one-dimensional tight-binding lattice example, these jumps occur at specific sampling times dependent on the initial position.
- Field
- tools and releases
- What they did
- The authors developed a general mathematical framework to describe the first-detection amplitude in quantum systems subjected to periodic projective measurements. This approach allows calculating the 'splitting' probabilities of a quantum state between two targets and identifying discontinuities in these probabilities.
- Why it matters
- The method enables precise prediction of quantum system behavior under measurement, which is useful for understanding fundamental quantum dynamic processes and controlling states in such systems.
#quantum dynamics#ergodicity breaking#quantum walk#projective measurement
