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Quantum Reports, Volume 6, Issue 2

June 2024 - 11 articles

Cover Story: We consider a toy model for studying monitored dynamics in many-body quantum systems. We study the stochastic Schrödinger equation from continuous monitoring of a random operator drawn from the Gaussian Unitary Ensemble. Due to unitary invariance, the dynamics of the eigenvalues of the density matrix decouples from that of the eigenvectors. We consider two regimes: in the presence of an extra dephasing term, the density matrix has a stationary distribution, matching the inverse Marchenko–Pastur distribution. In the case of perfect measurements, instead, purification eventually occurs, and we find an exact solution for the joint distribution of the eigenvalues at each time and arbitrary Hilbert space size, transitioning from a Coulomb gas to a universal regime. View this paper
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Articles (11)

  • Article
  • Open Access
2,864 Views
45 Pages

20 June 2024

The simulation analogy presented in this work enhances the accessibility of abstract quantum theories, specifically the stochastic hydrodynamic model (SQHM), by relating them to our daily experiences. The SQHM incorporates the influence of fluctuatin...

  • Article
  • Open Access
3 Citations
3,056 Views
15 Pages

Nitrogen-Related High-Spin Vacancy Defects in Bulk (SiC) and 2D (hBN) Crystals: Comparative Magnetic Resonance (EPR and ENDOR) Study

  • Larisa Latypova,
  • Fadis Murzakhanov,
  • George Mamin,
  • Margarita Sadovnikova,
  • Hans Jurgen von Bardeleben and
  • Marat Gafurov

14 June 2024

The distinct spin, optical, and coherence characteristics of solid-state spin defects in semiconductors have positioned them as potential qubits for quantum technologies. Both bulk and two-dimensional materials, with varying structural properties, ca...

  • Article
  • Open Access
3 Citations
3,872 Views
19 Pages

Diversifying Investments and Maximizing Sharpe Ratio: A Novel Quadratic Unconstrained Binary Optimization Formulation

  • Mirko Mattesi,
  • Luca Asproni,
  • Christian Mattia,
  • Simone Tufano,
  • Giacomo Ranieri,
  • Davide Caputo and
  • Davide Corbelletto

27 May 2024

The optimization of investment portfolios represents a pivotal task within the field of financial economics. Its objective is to identify asset combinations that meet specified criteria for return and risk. Traditionally, the maximization of the Shar...

  • Feature Paper
  • Article
  • Open Access
11 Citations
3,207 Views
31 Pages

A Dyson Brownian Motion Model for Weak Measurements in Chaotic Quantum Systems

  • Federico Gerbino,
  • Pierre Le Doussal,
  • Guido Giachetti and
  • Andrea De Luca

16 May 2024

We consider a toy model for the study of monitored dynamics in many-body quantum systems. We study the stochastic Schrödinger equation resulting from continuous monitoring with a rate Γ of a random Hermitian operator, drawn from the Gaussi...

  • Article
  • Open Access
5 Citations
1,839 Views
16 Pages

Fisher Information for a System Composed of a Combination of Similar Potential Models

  • Clement Atachegbe Onate,
  • Ituen B. Okon,
  • Edwin Samson Eyube,
  • Ekwevugbe Omugbe,
  • Kizito O. Emeje,
  • Michael C. Onyeaju,
  • Olumide O. Ajani and
  • Jacob A. Akinpelu

13 May 2024

The solutions to the radial Schrödinger equation for a pseudoharmonic potential and Kratzer potential have been studied separately in the past. Despite different reports on the Kratzer potential, the fundamental theoretical quantities such as Fi...

  • Feature Paper
  • Article
  • Open Access
2 Citations
1,612 Views
12 Pages

The Schrödinger equation and Bloch theorem are applied to examine a system of protons confined within a periodic potential, accounting for deviations from ideal harmonic behavior due to real-world conditions like truncated and non-quadratic pote...

  • Article
  • Open Access
1 Citations
1,898 Views
16 Pages

Measuring the Density Matrix of Quantum-Modeled Cognitive States

  • Wendy Xiomara Chavarría-Garza,
  • Osvaldo Aquines-Gutiérrez,
  • Ayax Santos-Guevara,
  • Humberto Martínez-Huerta,
  • Jose Ruben Morones-Ibarra and
  • Jonathan Rincon Saucedo

27 April 2024

Inspired by the principles of quantum mechanics, we constructed a model of students’ misconceptions about heat and temperature, conceptualized as a quantum system represented by a density matrix. Within this framework, the presence or absence o...

  • Article
  • Open Access
1 Citations
1,721 Views
9 Pages

A Normalization Condition for the Probability Current in Some Remarkable Cases

  • Antonio Feoli,
  • Elmo Benedetto and
  • Antonella Lucia Iannella

23 April 2024

Starting from the dynamics of a bouncing ball in classical and quantum regime, we have suggested in a previous paper to add an arbitrary function of time to the standard expression of the probability current in quantum mechanics. In this paper, we su...

  • Editorial
  • Open Access
1 Citations
10,356 Views
5 Pages

18 April 2024

This is a preface to a Special Issue of Quantum Reports devoted to the results of the workshop “The Many-Worlds Interpretation of Quantum Mechanics: Current Status and Relation to Other Interpretations” [...]

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Quantum Rep. - ISSN 2624-960X