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
- Arbitrary $\ell$-state solutions of the Klein-Gordon equation with the
Eckart plus a class of Yukawa potential and its non-relativistic thermal
properties [0.0]
We present any $ell$-state energy eigenvalues and the corresponding normalized wave functions of a mentioned system in a closed form.
We calculate the non-relativistic thermodynamic quantities for the potential model in question, and investigate them for a few diatomic molecules.
arXiv Detail & Related papers (2023-04-01T23:22:23Z) - Exact solution for the filling-induced thermalization transition in a 1D
fracton system [0.0]
We study a random circuit model of constrained fracton dynamics in which particles undergo random local motion.
We identify an exact solution for the critical density $n_c$.
We show that there is a universal value of the correlation length exponent $nu = 2$ near the transition.
arXiv Detail & Related papers (2022-10-05T18:00:02Z) - Full counting statistics of interacting lattice gases after an
expansion: The role of the condensate depletion in the many-body coherence [55.41644538483948]
We study the full counting statistics (FCS) of quantum gases in samples of thousands of interacting bosons.
FCS reveals the many-body coherence from which we characterize iconic states of interacting lattice bosons.
arXiv Detail & Related papers (2022-07-28T13:21:57Z) - Long-lived quantum coherent dynamics of a $\Lambda$-system driven by a
thermal environment [0.0]
We present a theoretical study of quantum coherent dynamics of a three-level $Lambda$ system driven by a thermal environment.
Our results suggest that thermal excitations can generate experimentally observable long-lived quantum coherent dynamics in the ground-state subspace of atomic and molecular $Lambda$ systems.
arXiv Detail & Related papers (2021-08-17T06:24:34Z) - Universal thermodynamics of an SU($N$) Fermi-Hubbard Model [0.0]
We numerically calculate the thermodynamics of the SU($N$) FHM in the two-dimensional square lattice near densities of one particle per site.
We find that for temperatures above the superexchange energy, where the correlation length is short, the energy, number of on-site pairs, and kinetic energy are universal functions of $N$.
arXiv Detail & Related papers (2021-08-09T16:25:33Z) - Uhlmann Fidelity and Fidelity Susceptibility for Integrable Spin Chains
at Finite Temperature: Exact Results [68.8204255655161]
We show that the proper inclusion of the odd parity subspace leads to the enhancement of maximal fidelity susceptibility in the intermediate range of temperatures.
The correct low-temperature behavior is captured by an approximation involving the two lowest many-body energy eigenstates.
arXiv Detail & Related papers (2021-05-11T14:08:02Z) - Exact thermal properties of free-fermionic spin chains [68.8204255655161]
We focus on spin chain models that admit a description in terms of free fermions.
Errors stemming from the ubiquitous approximation are identified in the neighborhood of the critical point at low temperatures.
arXiv Detail & Related papers (2021-03-30T13:15:44Z) - 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) - Quantum dynamics and relaxation in comb turbulent diffusion [91.3755431537592]
Continuous time quantum walks in the form of quantum counterparts of turbulent diffusion in comb geometry are considered.
Operators of the form $hatcal H=hatA+ihatB$ are described.
Rigorous analytical analysis is performed for both wave and Green's functions.
arXiv Detail & Related papers (2020-10-13T15:50:49Z) - 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) - Resilience of the superradiant phase against $\mathbf {A^2}$ effects in
the quantum Rabi dimer [0.0]
We study the quantum criticality of a two-site model combining quantum Rabi models with hopping interaction.
We find that the model allows the appearance of a superradiant quantum phase transition (QPT) even in the presence of strong $mathbfA2$ terms.
Our work provides a way to the study of phase transitions in presence of the $mathbfA2$ terms and offers the prospect of investigating quantum-criticality physics and quantum devices in many-body systems.
arXiv Detail & Related papers (2020-03-03T04:14:13Z)
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.