PreprintCC BY 4.0arXiv
Measurement-induced dynamics and emergent symmetries of particles moving in a one-dimensional lattice
Abstract
Continuous measurements simultaneously reveal and modify the dynamics of a quantum system. In this work we consider the tunneling motion of particles between the sites of a one-dimensional lattice. We investigate how weak continuous probing of the occupation of a single lattice site induces entanglement and selects definite values for system properties such as wave function parity and permutation symmetry. Our simulations show how continuous measurement can steer systems of two and three particles, with no prior permutation symmetry, into stable bosonic, fermionic and parastatistical symmetry sectors.
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BibTeX
@misc{lorenzo2026measurementinduced,
title = {{Measurement-induced dynamics and emergent symmetries of particles moving in a one-dimensional lattice}},
author = {Salvatore Di Lorenzo and Klaus Mølmer},
howpublished = {arXiv},
year = {2026},
month = sep,
doi = {10.48550/arxiv.2609.40026},
eprint = {2609.40026},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2609.40026},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - Measurement-induced dynamics and emergent symmetries of particles moving in a one-dimensional lattice
AU - Salvatore Di Lorenzo
AU - Klaus Mølmer
PY - 2026
DA - 2026/09/30
PB - arXiv
DO - 10.48550/arxiv.2609.40026
UR - https://arxiv.org/abs/2609.40026
AB - Continuous measurements simultaneously reveal and modify the dynamics of a quantum system. In this work we consider the tunneling motion of particles between the sites of a one-dimensional lattice. We investigate how weak continuous probing of the occupation of a single lattice site induces entanglement and selects definite values for system properties such as wave function parity and permutation symmetry. Our simulations show how continuous measurement can steer systems of two and three particles, with no prior permutation symmetry, into stable bosonic, fermionic and parastatistical symmetry sectors.
ER -