Synchronized Spin Trajectories under Collective Weak Measurements

• URL: http://arxiv.org/abs/2609.12736v1
• Date: Fri, 11 Sep 2026 11:36:56 GMT
• Title: Synchronized Spin Trajectories under Collective Weak Measurements
• Abstract summary: Locally driven quantum spins undergo a continuous weak measurement of their collective spin.<n>We show that such a system can exhibit full spin-synchronization in trajectories corresponding to the same measurement record.
• Score: 3.177798986999024
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: We consider locally driven-dissipative quantum spins that undergo a continuous weak measurement of their collective spin. We show that such a system can exhibit full spin-synchronization in trajectories corresponding to the same measurement record. Mathematically, we demonstrate that this is a general consequence of the irreducibility of the quantum Markov semigroup generated by the Lindbladian, in combination with a transitive symmetry, in particular spin-permutation symmetry. When breaking the irreducibility, e.g. in the absence of local dissipation, the system can exhibit a weaker form of partial synchronization. Given the general origin, this measurement-induced phenomenon arises in a broad class of many-body systems.

Related papers

• Bias in Local Spin Measurements from Deformed Symmetries [0.0]
  We study bipartite spin-singlet correlations when rotational symmetry is described by a quantum group rather than an ordinary Lie group.<n>We show that, even though the single-spin observables act as in the undeformed theory, the non-trivial coproduct reshapes the notion of "total" symmetry.
  arXiv  Detail & Related papers  (2026-03-09T17:02:02Z)
• Exploiting nonequilibrium phase transitions and strong symmetries for continuous measurement of collective observables [0.0]
  We discuss how a strong symmetry in conjunction with a nonequilibrium phase transition allows to devise a protocol for measuring collective many-body observables. We show that by continuously monitoring the system output the value of the total angular momentum can be inferred directly from the time-integrated emission signal.
  arXiv  Detail & Related papers  (2024-07-18T09:51:31Z)
• Entanglement and replica symmetry breaking in a driven-dissipative quantum spin glass [17.92148801290204]
  We describe a quantum cavity QED system that realizes an intrinsically driven-dissipative spin glass. We observe that entanglement plays an important role in the emergence of replica symmetry breaking. This practicable system could serve as a testbed for exploring how quantum effects enrich the physics of spin glasses.
  arXiv  Detail & Related papers  (2023-07-19T17:59:14Z)
• Disorder-free localisation in continuous-time quantum walks : Role of symmetries [1.6874375111244329]
  We investigate the phenomenon of disorder-free localisation in quantum systems with global permutation symmetry. We find that interactions that preserve and break the global permutation symmetry sustains localisation. Similar localisation also occurs for a permutation symmetric Heisenberg spin chain and permutation symmetric bosonic systems.
  arXiv  Detail & Related papers  (2023-07-05T00:18:29Z)
• Entanglement and localization in long-range quadratic Lindbladians [49.1574468325115]
  Signatures of localization have been observed in condensed matter and cold atomic systems. We propose a model of one-dimensional chain of non-interacting, spinless fermions coupled to a local ensemble of baths. We show that the steady state of the system undergoes a localization entanglement phase transition by tuning $p$ which remains stable in the presence of coherent hopping.
  arXiv  Detail & Related papers  (2023-03-13T12:45:25Z)
• Full counting statistics as probe of measurement-induced transitions in the quantum Ising chain [62.997667081978825]
  We show that local projective measurements induce a modification of the out-of-equilibrium probability distribution function of the local magnetization. In particular we describe how the probability distribution of the former shows different behaviour in the area-law and volume-law regimes.
  arXiv  Detail & Related papers  (2022-12-19T12:34:37Z)
• Sufficient condition for gapless spin-boson Lindbladians, and its connection to dissipative time-crystals [64.76138964691705]
  We discuss a sufficient condition for gapless excitations in the Lindbladian master equation for collective spin-boson systems. We argue that gapless modes can lead to persistent dynamics in the spin observables with the possible formation of dissipative time-crystals.
  arXiv  Detail & Related papers  (2022-09-26T18:34:59Z)
• Synchronization of persistent oscillations in spin systems with non-local dissipations [3.0429703764855343]
  We explore the synchronization phenomenon in the quantum few-body system of spins with the non-local dissipation. Without the external driving, we find that the system can exhibit stable oscillatory behaviors in the long-time dynamics. The oscillations of the next-nearest-neighboring spins are completely synchronized by the quantum analysis within the Schr"odinger equation.
  arXiv  Detail & Related papers  (2022-07-14T12:29:38Z)
• Simultaneous Transport Evolution for Minimax Equilibria on Measures [48.82838283786807]
  Min-max optimization problems arise in several key machine learning setups, including adversarial learning and generative modeling. In this work we focus instead in finding mixed equilibria, and consider the associated lifted problem in the space of probability measures. By adding entropic regularization, our main result establishes global convergence towards the global equilibrium.
  arXiv  Detail & Related papers  (2022-02-14T02:23:16Z)
• Non-equilibrium non-Markovian steady-states in open quantum many-body systems: Persistent oscillations in Heisenberg quantum spin chains [68.8204255655161]
  We investigate the effect of a non-Markovian, structured reservoir on an open Heisenberg spin chain. We establish a coherent self-feedback mechanism as the reservoir couples frequency-dependent to the spin chain.
  arXiv  Detail & Related papers  (2020-06-05T09:16:28Z)
• Bulk detection of time-dependent topological transitions in quenched chiral models [48.7576911714538]
  We show that the winding number of the Hamiltonian eigenstates can be read-out by measuring the mean chiral displacement of a single-particle wavefunction. This implies that the mean chiral displacement can detect the winding number even when the underlying Hamiltonian is quenched between different topological phases.
  arXiv  Detail & Related papers  (2020-01-16T17:44:52Z)

This list is automatically generated from the titles and abstracts of the papers in this site.

This site does not guarantee the quality of this site (including all information) and is not responsible for any consequences.