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Mueller, T., Diehl, S. and Buchhold, M. (2022). Measurement-Induced Dark State Phase Transitions in Long-Ranged Fermion Systems. Phys. Rev. Lett., 128 (1). COLLEGE PK: AMER PHYSICAL SOC. ISSN 1079-7114

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Abstract

We identify an unconventional algebraic scaling phase in the quantum dynamics of long-range hopping, free fermions, which are exposed to continuous local measurements. The algebraic phase occurs for hopping decay exponents 1 < p less than or similar to 3/2, and features an algebraic entanglement entropy growth, and a slow algebraic decay of the density-density correlation function, both with a fractional exponent. It is separated from a critical phase with logarithmic entanglement growth at small, and an area law phase with constant entanglement entropy at large monitoring rates. A perturbative renormalization group analysis predicts that the transitions to the long-range phase correspond to an unconventional, modified sine-Gordon theory. Exact numerical simulations of the monitored wave functions are in excellent agreement with an analytical replica field theory approach, which confirms the view of the measurement-induced phase transition as a quantum phase transition in the dark state of an effective, non-Hermitian Hamiltonian.

Item Type:	Journal Article
Creators:	Creators Email ORCID ORCID Put Code Mueller, T. UNSPECIFIED UNSPECIFIED UNSPECIFIED Diehl, S. UNSPECIFIED UNSPECIFIED UNSPECIFIED Buchhold, M. UNSPECIFIED UNSPECIFIED UNSPECIFIED
URN:	urn:nbn:de:hbz:38-661133
DOI:	10.1103/PhysRevLett.128.010605
Journal or Publication Title:	Phys. Rev. Lett.
Volume:	128
Number:	1
Date:	2022
Publisher:	AMER PHYSICAL SOC
Place of Publication:	COLLEGE PK
ISSN:	1079-7114
Language:	English
Faculty:	Unspecified
Divisions:	Unspecified
Subjects:	no entry
Uncontrolled Keywords:	Keywords Language QUANTUM; ENTANGLEMENT; PROPAGATION Multiple languages Physics, Multidisciplinary Multiple languages
URI:	http://kups.ub.uni-koeln.de/id/eprint/66113