Quantum simulation of the microscopic to macroscopic crossover using superconducting quantum impurities
Fuente:
arXiv
Salvato in:
| Autori principali: | , |
|---|---|
| Natura: | Preprint |
| Pubblicazione: |
2024
|
| Soggetti: | |
| Accesso online: | |
| Tags: |
Aggiungi Tag
Nessun Tag, puoi essere il primo ad aggiungerne!!
|
| _version_ | 1866913850491666432 |
|---|---|
| author | Burshtein, Amir Goldstein, Moshe |
| author_facet | Burshtein, Amir Goldstein, Moshe |
| contents | Despite being a pillar of quantum mechanics, little attention has been paid to the onset of Fermi's golden rule as a discrete microscopic bath of modes approaches the macroscopic thermodynamic limit and forms a continuum. Motivated by recent experiments in circuit quantum electrodynamics, we tackle this question through the lens of single-photon decay in a finite transmission line coupled to a qubit ("quantum impurity"). We consider a single-photon state, coupled via the nonlinear impurity to several baths formed by multi-photon states with different number of photons, which are inherently discrete due to the finite size of the line. We focus on the late-time dynamics of the single-photon, and uncover the conditions under which the photon's decoherence rate approaches the decay rate predicted by Fermi's golden rule. We show that it is necessary to keep a small but finite escape rate (unrelated to the impurity) for each single-photon mode to obtain a finite long-time decay rate. We analyze the contribution of the baths formed by many-body states with different number of photons, and illustrate how the decay rate induced by some bath of $n$ photon states is enhanced by the presence of other baths of $m \neq n$ photon states, highlighting the contribution of cascade photon decay processes. Our formalism could be used to analyze recent experiments in superconducting circuits. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2410_21941 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Quantum simulation of the microscopic to macroscopic crossover using superconducting quantum impurities Burshtein, Amir Goldstein, Moshe Quantum Physics Mesoscale and Nanoscale Physics Superconductivity Despite being a pillar of quantum mechanics, little attention has been paid to the onset of Fermi's golden rule as a discrete microscopic bath of modes approaches the macroscopic thermodynamic limit and forms a continuum. Motivated by recent experiments in circuit quantum electrodynamics, we tackle this question through the lens of single-photon decay in a finite transmission line coupled to a qubit ("quantum impurity"). We consider a single-photon state, coupled via the nonlinear impurity to several baths formed by multi-photon states with different number of photons, which are inherently discrete due to the finite size of the line. We focus on the late-time dynamics of the single-photon, and uncover the conditions under which the photon's decoherence rate approaches the decay rate predicted by Fermi's golden rule. We show that it is necessary to keep a small but finite escape rate (unrelated to the impurity) for each single-photon mode to obtain a finite long-time decay rate. We analyze the contribution of the baths formed by many-body states with different number of photons, and illustrate how the decay rate induced by some bath of $n$ photon states is enhanced by the presence of other baths of $m \neq n$ photon states, highlighting the contribution of cascade photon decay processes. Our formalism could be used to analyze recent experiments in superconducting circuits. |
| title | Quantum simulation of the microscopic to macroscopic crossover using superconducting quantum impurities |
| topic | Quantum Physics Mesoscale and Nanoscale Physics Superconductivity |
| url | https://arxiv.org/abs/2410.21941 |