Entanglement in interacting quenched two-body coupled oscillator system

• URL: http://arxiv.org/abs/2204.05326v3
• Date: Mon, 27 Jun 2022 05:51:39 GMT
• Title: Entanglement in interacting quenched two-body coupled oscillator system
• Authors: Sayantan Choudhury, Rakshit Mandish Gharat, Saptarshi Mandal, Nilesh Pandey, Abhishek Roy, Partha Sarker
• Abstract summary: We use the invariant operator method, under a perturbative framework, for computing the ground state of this system. We show the analytical calculation of two entanglement measures viz., Von Neumann entanglement entropy using replica trick and Renyi entanglement entropy. We comment on the variation of these entanglement measures for different orders of coupling strength.
• Score: 0.653972432012203
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: In this work, we explore the effects of a quantum quench on the entanglement measures of a two-body coupled oscillator system having quartic interaction. We use the invariant operator method, under a perturbative framework, for computing the ground state of this system. We give the analytical expressions for the total and reduced density matrix of the system having non-Gaussian, quartic interaction terms. Using this reduced density matrix, we show the analytical calculation of two entanglement measures viz., Von Neumann entanglement entropy using replica trick and Renyi entanglement entropy. Further, we give a numerical estimate of these entanglement measures with respect to the dimensionless parameter $(t/\delta t$) and show its behaviour in the three regimes, i.e; late time behaviour, around the quench point and the early time behaviour. We comment on the variation of these entanglement measures for different orders of coupling strength. The variation of Renyi entropy of different orders has also been discussed.

Related papers

• Entanglement transitions and quantum bifurcations under continuous long-range monitoring [0.0]
  We study the bipartite entanglement entropy of the quantum trajectories of a free-fermionic system, when subject to a continuous nonlocal monitoring.
  arXiv  Detail & Related papers  (2023-07-11T18:00:08Z)
• Three components of stochastic entropy production associated with the quantum Zeno and anti-Zeno effects [0.0]
  entropy production is a measure of the irreversibility of the behaviour. The study illustrates how the ideas of thermodynamics may be applied in similar ways to both quantum and classical systems.
  arXiv  Detail & Related papers  (2023-03-17T18:14:26Z)
• Evolution of many-body systems under ancilla quantum measurements [58.720142291102135]
  We study the concept of implementing quantum measurements by coupling a many-body lattice system to an ancillary degree of freedom. We find evidence of a disentangling-entangling measurement-induced transition as was previously observed in more abstract models.
  arXiv  Detail & Related papers  (2023-03-13T13:06:40Z)
• 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)
• Finite resolution ancilla-assisted measurements of quantum work distributions [77.34726150561087]
  We consider an ancilla-assisted protocol measuring the work done on a quantum system driven by a time-dependent Hamiltonian. We consider system Hamiltonians which both commute and do not commute at different times, finding corrections to fluctuation relations like the Jarzynski equality and the Crooks relation.
  arXiv  Detail & Related papers  (2021-11-30T15:08:25Z)
• Intrinsic decoherence dynamics in the three-coupled harmonic oscillators interaction [77.34726150561087]
  We give an explicit solution for the complete equation, i.e., beyond the usual second order approximation used to arrive to the Lindblad form.
  arXiv  Detail & Related papers  (2021-08-01T02:36:23Z)
• Quantum asymmetry and noisy multi-mode interferometry [55.41644538483948]
  Quantum asymmetry is a physical resource which coincides with the amount of coherence between the eigenspaces of a generator. We show that the asymmetry may emphincrease as a result of a emphdecrease of coherence inside a degenerate subspace.
  arXiv  Detail & Related papers  (2021-07-23T07:30:57Z)
• Entanglement dynamics of coupled oscillators from Gaussian states [0.0]
  We explore the dynamics of entanglement of an isolated quantum system consisting of two time-dependent, coupled harmonic oscillators. We use a numerical method that relies on the estimation of the system's Wigner representation by a specific Gaussian function. Also, we analyze how the entropy of entanglement change as a function of time.
  arXiv  Detail & Related papers  (2021-04-26T03:37:09Z)
• Sensing quantum chaos through the non-unitary geometric phase [62.997667081978825]
  We propose a decoherent mechanism for sensing quantum chaos. The chaotic nature of a many-body quantum system is sensed by studying the implications that the system produces in the long-time dynamics of a probe coupled to it.
  arXiv  Detail & Related papers  (2021-04-13T17:24:08Z)
• The Dynamics of Entropies at the Onset of Interactions [0.0]
  We find that the rate at which the n-Renyi entropy increases in an interaction is determined by a quantity which we term the n-fragility of the system. The 2-fragility is not a coherence monotone in the resource theoretic sense since it depends also on the eigenvalues of the reference operator.
  arXiv  Detail & Related papers  (2020-04-06T17:19:09Z)
• Non-destructively probing the thermodynamics of quantum systems with qumodes [0.6144680854063939]
  In quantum systems there is often a destruction of the system itself due to the means of measurement. One approach to circumventing this is the use of ancillary probes that couple to the system under investigation. We highlight means by which continuous variable quantum modes (qumodes) can be employed to probe the thermodynamics of quantum systems in and out of equilibrium.
  arXiv  Detail & Related papers  (2017-07-13T17:57:11Z)

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.