pith:ZRWDHNCE
Universal Spin Squeezing Dynamical Phase Transitions across Lattice Geometries, Dimensions, and Microscopic Couplings
A dynamical squeezing phase transition persists across all lattice geometries and coupling strengths in power-law spin models.
arxiv:2605.13969 v1 · 2026-05-13 · quant-ph · cond-mat.quant-gas
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Claims
the transition persists across all four lattice geometries and over a wide range of λ with critical exponents consistent within error, providing strong evidence for a genuine non-equilibrium universality class. The Bogoliubov theory recovers the previously identified scaling a_Z^* ∝ L in the long-range interacting regime α < d+2, and yields an analytical scaling a_Z^* ∝ L^{2/(α-d)} for the critical aspect ratio with system size for α>d+2
The Bogoliubov instability analysis combined with discrete truncated Wigner simulations accurately captures the full quantum many-body dynamics without significant corrections from higher-order terms or unaccounted finite-size effects.
The dynamical squeezing phase transition in bilayer XXZ spin models is universal across lattice geometries and interlayer coupling rescalings, with a new sub-linear scaling for short-range interactions.
References
Receipt and verification
| First computed | 2026-05-17T23:39:13.518618Z |
|---|---|
| Builder | pith-number-builder-2026-05-17-v1 |
| Signature | Pith Ed25519
(pith-v1-2026-05) · public key |
| Schema | pith-number/v1.0 |
Canonical hash
cc6c33b444d519920affebfb66ec55777404205fef833fe3833ae714368d41a6
Aliases
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curl -sH 'Accept: application/ld+json' https://pith.science/pith/ZRWDHNCE2UMZECX75P5WN3CVO5 \
| jq -c '.canonical_record' \
| python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: cc6c33b444d519920affebfb66ec55777404205fef833fe3833ae714368d41a6
Canonical record JSON
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