Two-parameter Family-Vicsek scaling in a dissipative XXZ spin chain
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| Main Authors: | , , , |
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| Format: | Preprint |
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2026
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| _version_ | 1866912980787003392 |
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| author | Moca, Cătălin Paşcu Sticlet, Doru Vicsek, Tamás Dóra, Balázs |
| author_facet | Moca, Cătălin Paşcu Sticlet, Doru Vicsek, Tamás Dóra, Balázs |
| contents | Family-Vicsek (FV) scaling provides an understanding for the growth and finite-size saturation of fluctuations in classical systems. Here, we extend the FV roughness to transferred segment magnetization after quantum quenches in a dissipative XXZ spin chain with homogeneous gain and loss, starting from a nonequilibrium steady state with finite magnetization. In the non-interacting limit, we derive a closed-form expression for the roughness in the presence of dissipation. It displays two-parameter FV scaling and smoothly interpolates between the clean ballistic behavior and the dissipation dominated scalings. For interacting chains, tensor-network simulations show that the non-dissipative ballistic growth at finite magnetization is robust, whereas the full Lindblad evolution is generically controlled by the dissipative relaxation time and exhibits a dissipation-dominated collapse. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2603_23388 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Two-parameter Family-Vicsek scaling in a dissipative XXZ spin chain Moca, Cătălin Paşcu Sticlet, Doru Vicsek, Tamás Dóra, Balázs Quantum Physics Strongly Correlated Electrons Family-Vicsek (FV) scaling provides an understanding for the growth and finite-size saturation of fluctuations in classical systems. Here, we extend the FV roughness to transferred segment magnetization after quantum quenches in a dissipative XXZ spin chain with homogeneous gain and loss, starting from a nonequilibrium steady state with finite magnetization. In the non-interacting limit, we derive a closed-form expression for the roughness in the presence of dissipation. It displays two-parameter FV scaling and smoothly interpolates between the clean ballistic behavior and the dissipation dominated scalings. For interacting chains, tensor-network simulations show that the non-dissipative ballistic growth at finite magnetization is robust, whereas the full Lindblad evolution is generically controlled by the dissipative relaxation time and exhibits a dissipation-dominated collapse. |
| title | Two-parameter Family-Vicsek scaling in a dissipative XXZ spin chain |
| topic | Quantum Physics Strongly Correlated Electrons |
| url | https://arxiv.org/abs/2603.23388 |