Emergent Eigenstate Solution to Quantum Dynamics Far from Equilibrium
The quantum dynamics of interacting many-body systems has become a unique venue for the realization of novel states of matter. Here, we unveil a new class of nonequilibrium states that are eigenstates of an emergent local Hamiltonian. The latter is explicitly time dependent and, even though it does...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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American Physical Society
2017-04-01
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| Series: | Physical Review X |
| Online Access: | http://doi.org/10.1103/PhysRevX.7.021012 |
| _version_ | 1819121190335152128 |
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| author | Lev Vidmar Deepak Iyer Marcos Rigol |
| author_facet | Lev Vidmar Deepak Iyer Marcos Rigol |
| author_sort | Lev Vidmar |
| collection | DOAJ |
| description | The quantum dynamics of interacting many-body systems has become a unique venue for the realization of novel states of matter. Here, we unveil a new class of nonequilibrium states that are eigenstates of an emergent local Hamiltonian. The latter is explicitly time dependent and, even though it does not commute with the physical Hamiltonian, it behaves as a conserved quantity of the time-evolving system. We discuss two examples of integrable systems in which the emergent eigenstate solution can be applied for an extensive (in system size) time: transport in one-dimensional lattices with initial particle (or spin) imbalance and sudden expansion of quantum gases in optical lattices. We focus on noninteracting spinless fermions, hard-core bosons, and the Heisenberg model. We show that current-carrying states can be ground states of emergent local Hamiltonians, and that they can exhibit a quasimomentum distribution function that is peaked at nonzero (and tunable) quasimomentum. We also show that time-evolving states can be highly excited eigenstates of emergent local Hamiltonians, with an entanglement entropy that does not exhibit volume-law scaling. |
| first_indexed | 2024-12-22T06:32:37Z |
| format | Article |
| id | doaj.art-80b5cf0234f54293b98d8e1f1f539fa1 |
| institution | Directory Open Access Journal |
| issn | 2160-3308 |
| language | English |
| last_indexed | 2024-12-22T06:32:37Z |
| publishDate | 2017-04-01 |
| publisher | American Physical Society |
| record_format | Article |
| series | Physical Review X |
| spelling | doaj.art-80b5cf0234f54293b98d8e1f1f539fa12022-12-21T18:35:40ZengAmerican Physical SocietyPhysical Review X2160-33082017-04-017202101210.1103/PhysRevX.7.021012Emergent Eigenstate Solution to Quantum Dynamics Far from EquilibriumLev VidmarDeepak IyerMarcos RigolThe quantum dynamics of interacting many-body systems has become a unique venue for the realization of novel states of matter. Here, we unveil a new class of nonequilibrium states that are eigenstates of an emergent local Hamiltonian. The latter is explicitly time dependent and, even though it does not commute with the physical Hamiltonian, it behaves as a conserved quantity of the time-evolving system. We discuss two examples of integrable systems in which the emergent eigenstate solution can be applied for an extensive (in system size) time: transport in one-dimensional lattices with initial particle (or spin) imbalance and sudden expansion of quantum gases in optical lattices. We focus on noninteracting spinless fermions, hard-core bosons, and the Heisenberg model. We show that current-carrying states can be ground states of emergent local Hamiltonians, and that they can exhibit a quasimomentum distribution function that is peaked at nonzero (and tunable) quasimomentum. We also show that time-evolving states can be highly excited eigenstates of emergent local Hamiltonians, with an entanglement entropy that does not exhibit volume-law scaling.http://doi.org/10.1103/PhysRevX.7.021012 |
| spellingShingle | Lev Vidmar Deepak Iyer Marcos Rigol Emergent Eigenstate Solution to Quantum Dynamics Far from Equilibrium Physical Review X |
| title | Emergent Eigenstate Solution to Quantum Dynamics Far from Equilibrium |
| title_full | Emergent Eigenstate Solution to Quantum Dynamics Far from Equilibrium |
| title_fullStr | Emergent Eigenstate Solution to Quantum Dynamics Far from Equilibrium |
| title_full_unstemmed | Emergent Eigenstate Solution to Quantum Dynamics Far from Equilibrium |
| title_short | Emergent Eigenstate Solution to Quantum Dynamics Far from Equilibrium |
| title_sort | emergent eigenstate solution to quantum dynamics far from equilibrium |
| url | http://doi.org/10.1103/PhysRevX.7.021012 |
| work_keys_str_mv | AT levvidmar emergenteigenstatesolutiontoquantumdynamicsfarfromequilibrium AT deepakiyer emergenteigenstatesolutiontoquantumdynamicsfarfromequilibrium AT marcosrigol emergenteigenstatesolutiontoquantumdynamicsfarfromequilibrium |