On the complex behaviour of the density in composite quantum systems

• URL: http://arxiv.org/abs/2004.06813v2
• Date: Mon, 19 Oct 2020 00:05:55 GMT
• Title: On the complex behaviour of the density in composite quantum systems
• Authors: Filiberto Ares, Jos\'e G. Esteve, Fernando Falceto, Alberto Us\'on
• Abstract summary: We study how the probability of presence of a particle is distributed between the two parts of a composite fermionic system. We prove that it is a non-perturbative property and we find out a large/small coupling constant duality. Inspired by the proof of KAM theorem, we are able to deal with this problem by introducing a cut-off in energies that eliminates these small denominators.
• Score: 62.997667081978825
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: In this paper, we study how the probability of presence of a particle is distributed between the two parts of a composite fermionic system. We uncover that the difference of probability depends on the energy in a striking way and show the pattern of this distribution. We discuss the main features of the latter and explain analytically those that we understand. In particular, we prove that it is a non-perturbative property and we find out a large/small coupling constant duality. We also find and study features that may connect our problem with certain aspects of non linear classical dynamics, like the existence of resonances and sensitive dependence on the state of the system. We show that the latter has indeed a similar origin than in classical mechanics: the appearance of small denominators in the perturbative series. Inspired by the proof of KAM theorem, we are able to deal with this problem by introducing a cut-off in energies that eliminates these small denominators. We also formulate some conjectures that we are not able to prove at present but can be supported by numerical experiments.

Related papers

• Interferometry of quantum correlation functions to access quasiprobability distribution of work [0.0]
  We use an interferometric scheme aided by an auxiliary system to reconstruct the Kirkwood-Dirac quasiprobability distribution. Our results clarify the physical meaning of the work quasiprobability distribution in the context of quantum thermodynamics.
  arXiv  Detail & Related papers  (2024-05-31T17:32:02Z)
• Double or nothing: a Kolmogorov extension theorem for multitime (bi)probabilities in quantum mechanics [0.0]
  We prove a generalization of the Kolmogorov extension theorem that applies to families of complex-valued bi-probability distributions. We discuss the relation of our results with the quantum comb formalism.
  arXiv  Detail & Related papers  (2024-02-02T08:40:03Z)
• Dilute neutron star matter from neural-network quantum states [58.720142291102135]
  Low-density neutron matter is characterized by the formation of Cooper pairs and the onset of superfluidity. We model this density regime by capitalizing on the expressivity of the hidden-nucleon neural-network quantum states combined with variational Monte Carlo and reconfiguration techniques.
  arXiv  Detail & Related papers  (2022-12-08T17:55:25Z)
• Quantum Lyapunov exponent in dissipative systems [68.8204255655161]
  The out-of-time order correlator (OTOC) has been widely studied in closed quantum systems. We study the interplay between these two processes. The OTOC decay rate is closely related to the classical Lyapunov.
  arXiv  Detail & Related papers  (2022-11-11T17:06:45Z)
• Correspondence Between the Energy Equipartition Theorem in Classical Mechanics and its Phase-Space Formulation in Quantum Mechanics [62.997667081978825]
  In quantum mechanics, the energy per degree of freedom is not equally distributed. We show that in the high-temperature regime, the classical result is recovered.
  arXiv  Detail & Related papers  (2022-05-24T20:51:03Z)
• Decimation technique for open quantum systems: a case study with driven-dissipative bosonic chains [62.997667081978825]
  Unavoidable coupling of quantum systems to external degrees of freedom leads to dissipative (non-unitary) dynamics. We introduce a method to deal with these systems based on the calculation of (dissipative) lattice Green's function. We illustrate the power of this method with several examples of driven-dissipative bosonic chains of increasing complexity.
  arXiv  Detail & Related papers  (2022-02-15T19:00:09Z)
• Odd thermodynamic limit for the Loschmidt echo [0.0]
  We show that in antiferromagnetic quantum spin rings a simple out-of-equilibrium experiment can do so. We employ the prototypical quantum Ising chain to illustrate this phenomenology.
  arXiv  Detail & Related papers  (2021-05-13T18:00:06Z)
• Nontrivial damping of quantum many-body dynamics [0.0]
  We show that a nontrivial damping in the Schr"odinger picture can emerge if the dynamics in the unperturbed system possesses rich features. We substantiate our theoretical arguments by large-scale numerical simulations of charge transport in the extended Fermi-Hubbard chain.
  arXiv  Detail & Related papers  (2021-03-11T12:58:39Z)
• Ab initio Path Integral Monte Carlo Simulations of Quantum Dipole Systems in Traps: Superfluidity, Quantum Statistics, and Structural Properties [0.0]
  We study the nonclassical rotational inertia, which can lead to a negative superfluid fraction in the case of fermions. We show that fermionic PIMC simulations of quantum dipole systems are feasible despite the notorious fermion sign problem.
  arXiv  Detail & Related papers  (2020-05-08T07:22:56Z)
• Dynamical solitons and boson fractionalization in cold-atom topological insulators [110.83289076967895]
  We study the $mathbbZ$ Bose-Hubbard model at incommensurate densities. We show how defects in the $mathbbZ$ field can appear in the ground state, connecting different sectors. Using a pumping argument, we show that it survives also for finite interactions.
  arXiv  Detail & Related papers  (2020-03-24T17:31:34Z)

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.