Strongly interacting fermions are non-trivial yet non-glassy
Fuente:
arXiv
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| Autori principali: | , , , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866916468229144576 |
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| author | Anschuetz, Eric R. Chen, Chi-Fang Kiani, Bobak T. King, Robbie |
| author_facet | Anschuetz, Eric R. Chen, Chi-Fang Kiani, Bobak T. King, Robbie |
| contents | Random spin systems at low temperatures are glassy and feature computational hardness in finding low-energy states. We study the random all-to-all interacting fermionic Sachdev--Ye--Kitaev (SYK) model and prove that, in contrast, (I) the low-energy states have polynomial circuit depth, yet (II) the annealed and quenched free energies agree to inverse-polynomially low temperatures, ruling out a glassy phase transition in this sense. These results are derived by showing that fermionic and spin systems significantly differ in their commutation index, which quantifies the non-commutativity of Hamiltonian terms. Our results suggest that low-temperature strongly interacting fermions, unlike spins, belong in a classically nontrivial yet quantumly easy phase. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2408_15699 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Strongly interacting fermions are non-trivial yet non-glassy Anschuetz, Eric R. Chen, Chi-Fang Kiani, Bobak T. King, Robbie Quantum Physics Random spin systems at low temperatures are glassy and feature computational hardness in finding low-energy states. We study the random all-to-all interacting fermionic Sachdev--Ye--Kitaev (SYK) model and prove that, in contrast, (I) the low-energy states have polynomial circuit depth, yet (II) the annealed and quenched free energies agree to inverse-polynomially low temperatures, ruling out a glassy phase transition in this sense. These results are derived by showing that fermionic and spin systems significantly differ in their commutation index, which quantifies the non-commutativity of Hamiltonian terms. Our results suggest that low-temperature strongly interacting fermions, unlike spins, belong in a classically nontrivial yet quantumly easy phase. |
| title | Strongly interacting fermions are non-trivial yet non-glassy |
| topic | Quantum Physics |
| url | https://arxiv.org/abs/2408.15699 |