Von Neumann entropy in a dispersive cavity

• URL: http://arxiv.org/abs/2012.05910v2
• Date: Thu, 30 Sep 2021 15:40:07 GMT
• Title: Von Neumann entropy in a dispersive cavity
• Authors: Ram Narayan Deb
• Abstract summary: We study the von Neumann entropy of the partial trace of a system of two two-level atoms (qubits) in a dispersive cavity. We find a close relationship between this von Neumann entropy and the spin squeezing of the system.
• Score: 0.0
• License: http://creativecommons.org/publicdomain/zero/1.0/
• Abstract: We study the von Neumann entropy of the partial trace of a system of two two-level atoms (qubits) in a dispersive cavity where the atoms are interacting collectively with a single mode electromagnetic field in the cavity. We make a contrast of this entanglement entropy with the spin squeezing property of the system. We find a close relationship between this von Neumann entropy and the spin squeezing of the system. We observe that this entanglement entropy attains its maximum value when the spin squeezing in the system goes to its maximum and is zero when the spin squeezing in the system vanishes.

Related papers

• How to Partition a Quantum Observable [0.0]
  We present a partition of quantum observables in an open quantum system which is inherited from the division of the underlying Hilbert space or configuration space. This partition leads to the definition of an inhomogeneous continuity equation for generic, non-local observables. We conclude that Hilbert-space partitioning is the only partition of the von Neumann entropy which is consistent with the Laws of Thermodynamics.
  arXiv  Detail & Related papers  (2024-02-27T21:49:27Z)
• Mutual information scrambling in Ising spin chain [0.0]
  We consider a chain of spin-half particles of a finite length, evolved with the mixed-field Ising Hamiltonian and impose open boundary condition. We simulate the time evolution of entanglement entropy and mutual information following quench from the N'eel state.
  arXiv  Detail & Related papers  (2024-02-21T06:26:48Z)
• Quantum vibrational mode in a cavity confining a massless spinor field [91.3755431537592]
  We analyse the reaction of a massless (1+1)-dimensional spinor field to the harmonic motion of one cavity wall. We demonstrate that the system is able to convert bosons into fermion pairs at the lowest perturbative order.
  arXiv  Detail & Related papers  (2022-09-12T08:21:12Z)
• Partition of kinetic energy and magnetic moment in dissipative diamagnetism [20.218184785285132]
  We analyze dissipative diamagnetism, arising due to dissipative cyclotron motion in two dimensions, in the light of the quantum counterpart of energy equipartition theorem. The expressions for kinetic energy and magnetic moment are reformulated in the context of superstatistics.
  arXiv  Detail & Related papers  (2022-07-30T08:07:28Z)
• A new entanglement measure based dual entropy [7.95085289592294]
  We define $St$-entropy entanglement based on von Neumann entropy and its complementary dual. We prove a new type of entanglement inequality in terms of $St$-entropy entanglement for quantum entangled networks.
  arXiv  Detail & Related papers  (2022-04-15T10:08:12Z)
• Deviation from maximal entanglement for mid-spectrum eigenstates of local Hamiltonians [6.907555940790131]
  In a spin chain governed by a local Hamiltonian, we consider a microcanonical ensemble in the middle of the energy spectrum and a contiguous subsystem whose length is a constant fraction of the system size. We prove that if the bandwidth of the ensemble is greater than a certain constant, then the average entanglement entropy of eigenstates in the ensemble deviates from the maximum entropy by at least a positive constant.
  arXiv  Detail & Related papers  (2022-02-02T18:05:50Z)
• Open-system approach to nonequilibrium quantum thermodynamics at arbitrary coupling [77.34726150561087]
  We develop a general theory describing the thermodynamical behavior of open quantum systems coupled to thermal baths. Our approach is based on the exact time-local quantum master equation for the reduced open system states.
  arXiv  Detail & Related papers  (2021-09-24T11:19:22Z)
• Evolution of a Non-Hermitian Quantum Single-Molecule Junction at Constant Temperature [62.997667081978825]
  We present a theory for describing non-Hermitian quantum systems embedded in constant-temperature environments. We find that the combined action of probability losses and thermal fluctuations assists quantum transport through the molecular junction.
  arXiv  Detail & Related papers  (2021-01-21T14:33:34Z)
• Von Neumann Entropy from Mean Spin Vector [0.0]
  We show for a general pure entangled state of two two-level atoms, the von Neumann entropy of the partial traces can be directly measured from the magnitude of the mean spin vector of a single atom of the pair.
  arXiv  Detail & Related papers  (2020-05-19T10:11:18Z)
• Entropy production in the quantum walk [62.997667081978825]
  We focus on the study of the discrete-time quantum walk on the line, from the entropy production perspective. We argue that the evolution of the coin can be modeled as an open two-level system that exchanges energy with the lattice at some effective temperature.
  arXiv  Detail & Related papers  (2020-04-09T23:18:29Z)
• Algorithmic Cooling of Nuclear Spin Pairs using a Long-Lived Singlet State [48.7576911714538]
  We show that significant cooling is achieved on an ensemble of spin-pair systems by exploiting the long-lived nuclear singlet state. This is the first demonstration of algorithmic cooling using a quantum superposition state.
  arXiv  Detail & Related papers  (2019-12-31T09:57:03Z)

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.