Rate Function Modelling of Quantum Many-Body Adiabaticity

• URL: http://arxiv.org/abs/2402.17415v1
• Date: Tue, 27 Feb 2024 11:10:33 GMT
• Title: Rate Function Modelling of Quantum Many-Body Adiabaticity
• Authors: Vibhu Mishra, Salvatore Manamana, Stefan Kehrein
• Abstract summary: We study the dynamics of adiabatic processes for interacting quantum many-body systems. We control and define the notion of adiabaticity in many-body systems.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: The quantum adiabatic theorem is a fundamental result in quantum mechanics, which has a multitude of applications, both theoretical and practical. Here, we investigate the dynamics of adiabatic processes for interacting quantum many-body systems by analysing the properties of observable-free, intensive quantities. In particular, we study the rate function $f(T)$ in dependence of the ramp time $T$, which gives us a complete characterization of the many-body adiabatic fidelity as a function of $T$ and the strength of the parameter displacement $\Delta \lambda$. This allows us to control and define the notion of adiabaticity in many-body systems. Several key results in the literature regarding the interplay of the thermodynamic and the adiabatic limit are obtained as inferences from the properties of $f(T)$ in the large $T$ limit.

Related papers

• Quantum-electrodynamical density-functional theory for the Dicke Hamiltonian [0.0]
  A detailed analysis of density-functional theory for quantum-electrodynamical model systems is provided. In particular, the quantum Rabi model, the Dicke model, and the latter to multiple modes are considered.
  arXiv  Detail & Related papers  (2024-09-18T12:53:36Z)
• Thermodynamics of adiabatic quantum pumping in quantum dots [50.24983453990065]
  We consider adiabatic quantum pumping through a resonant level model, a single-level quantum dot connected to two fermionic leads. We develop a self-contained thermodynamic description of this model accounting for the variation of the energy level of the dot and the tunnelling rates with the thermal baths.
  arXiv  Detail & Related papers  (2023-06-14T16:29:18Z)
• Universality of critical dynamics with finite entanglement [68.8204255655161]
  We study how low-energy dynamics of quantum systems near criticality are modified by finite entanglement. Our result establishes the precise role played by entanglement in time-dependent critical phenomena.
  arXiv  Detail & Related papers  (2023-01-23T19:23:54Z)
• Multipartite entanglement in the 1-D spin-$\frac{1}{2}$ Heisenberg Antiferromagnet [0.0]
  Multipartite entanglement refers to the simultaneous entanglement between multiple subsystems of a quantum system. We show that the finite temperature QFI can generally be expressed in terms of a static structure factor of the system. We show that multipartite entanglement in the Heisenberg chain diverges non-trivially as $sim log (1/T)3/2$.
  arXiv  Detail & Related papers  (2022-12-10T22:19:27Z)
• 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)
• Subdiffusion and many-body quantum chaos with kinetic constraints [0.0]
  We find universality classes with diffusive, subdiffusive, quasilocalized, and localized dynamics. In particular, we show that quantum systems with 'Fredkin constraints' exhibit anomalous transport with dynamical exponent $z simeq 8/3$.
  arXiv  Detail & Related papers  (2021-08-04T18:00:00Z)
• Quantum hydrodynamics from local thermal pure states [0.0]
  A pure state describing quantum systems in local thermal equilibrium is constructed, which we call a local thermal pure quantum ($ell$TPQ) state. We show that the thermodynamic functional and the expectation values of local operators converge to those from a local Gibbs ensemble in the large fluid-cell limit.
  arXiv  Detail & Related papers  (2021-06-24T05:59:01Z)
• 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)
• Probing eigenstate thermalization in quantum simulators via fluctuation-dissipation relations [77.34726150561087]
  The eigenstate thermalization hypothesis (ETH) offers a universal mechanism for the approach to equilibrium of closed quantum many-body systems. Here, we propose a theory-independent route to probe the full ETH in quantum simulators by observing the emergence of fluctuation-dissipation relations. Our work presents a theory-independent way to characterize thermalization in quantum simulators and paves the way to quantum simulate condensed matter pump-probe experiments.
  arXiv  Detail & Related papers  (2020-07-20T18:00:02Z)
• Method of spectral Green functions in driven open quantum dynamics [77.34726150561087]
  A novel method based on spectral Green functions is presented for the simulation of driven open quantum dynamics. The formalism shows remarkable analogies to the use of Green functions in quantum field theory. The method dramatically reduces computational cost compared with simulations based on solving the full master equation.
  arXiv  Detail & Related papers  (2020-06-04T09:41:08Z)
• Quantum Jamming: Critical Properties of a Quantum Mechanical Perceptron [0.0]
  We find that the jamming transition with quantum dynamics shows critical exponents different from the classical case. Our findings have implications for the theory of glasses at ultra-low temperatures and for the study of quantum machine-learning algorithms.
  arXiv  Detail & Related papers  (2020-03-02T18:05:14Z)

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.