Interplay between short-range and critical long-range fluctuations in the out-of-equilibrium behavior of the particle density at quantum transitions
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| Format: | Preprint |
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2024
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| _version_ | 1866929427819003904 |
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| author | Rossini, Davide Vicari, Ettore |
| author_facet | Rossini, Davide Vicari, Ettore |
| contents | We address the equilibrium and out-of-equilibrium behavior of the particle density in many-body systems undergoing quantum transitions driven by the chemical potential $μ$. They originate from a nontrivial interplay between noncritical short-range and critical long-range quantum fluctuations. As a paradigmatic model we consider the one-dimensional fermionic Kitaev chain, for which very accurate numerical studies can be performed, up to $O(10^4)$ sites. The search for dynamic scaling behaviors of the particle density is complicated by the fact that its equilibrium (ground state) behavior is dominated by short-range fluctuations, giving rise to regular background terms and peculiar logarithmic terms from resonances between renormalization-group perturbations associated with the energy and identity operator families within the conformal field theory. To study these issues, we focus on two dynamic protocols, either instantaneous quenches or quasi-adiabatic changes of $μ$ to the critical value $μ_c$, unveiling out-of-equilibrium scaling behaviors of the particle density, which arise from the critical modes, within a dynamic finite-size scaling framework. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2405_04364 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Interplay between short-range and critical long-range fluctuations in the out-of-equilibrium behavior of the particle density at quantum transitions Rossini, Davide Vicari, Ettore Statistical Mechanics Quantum Gases Strongly Correlated Electrons We address the equilibrium and out-of-equilibrium behavior of the particle density in many-body systems undergoing quantum transitions driven by the chemical potential $μ$. They originate from a nontrivial interplay between noncritical short-range and critical long-range quantum fluctuations. As a paradigmatic model we consider the one-dimensional fermionic Kitaev chain, for which very accurate numerical studies can be performed, up to $O(10^4)$ sites. The search for dynamic scaling behaviors of the particle density is complicated by the fact that its equilibrium (ground state) behavior is dominated by short-range fluctuations, giving rise to regular background terms and peculiar logarithmic terms from resonances between renormalization-group perturbations associated with the energy and identity operator families within the conformal field theory. To study these issues, we focus on two dynamic protocols, either instantaneous quenches or quasi-adiabatic changes of $μ$ to the critical value $μ_c$, unveiling out-of-equilibrium scaling behaviors of the particle density, which arise from the critical modes, within a dynamic finite-size scaling framework. |
| title | Interplay between short-range and critical long-range fluctuations in the out-of-equilibrium behavior of the particle density at quantum transitions |
| topic | Statistical Mechanics Quantum Gases Strongly Correlated Electrons |
| url | https://arxiv.org/abs/2405.04364 |